{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 时间序列\n",
    "在生产和科学研究中，对某一个或者一组变量  进行观察测量，将在一系列时刻所得到的离散数字组成的序列集合，称之为时间序列。  \n",
    "- pandas生成时间序列\n",
    "- 过滤数据\n",
    "- 重采样\n",
    "- 插值\n",
    "- 滑窗\n",
    "- 数据平稳性与差分法\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## pandas生成时间序列\n",
    "- 时间戳（timestamp）\n",
    "- 固定周期（period）\n",
    "- 时间间隔（interval）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2016-07-01', '2016-07-04', '2016-07-07', '2016-07-10',\n",
       "               '2016-07-13', '2016-07-16', '2016-07-19', '2016-07-22',\n",
       "               '2016-07-25', '2016-07-28'],\n",
       "              dtype='datetime64[ns]', freq='3D')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# TIMES的几种书写方式 #2016 Jul 1; 7/1/2016; 1/7/2016 ;2016-07-01; 2016/07/01\n",
    "rng = pd.date_range('2016-07-01', periods = 10, freq = '3D')#不传freq则默认是D\n",
    "rng"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2016-01-01   -1.503070\n",
      "2016-01-02    1.637771\n",
      "2016-01-03   -1.527274\n",
      "2016-01-04    1.202349\n",
      "2016-01-05   -1.214471\n",
      "2016-01-06    2.686539\n",
      "2016-01-07   -0.665813\n",
      "2016-01-08    1.210834\n",
      "2016-01-09    0.973659\n",
      "2016-01-10   -1.003532\n",
      "2016-01-11   -0.138483\n",
      "2016-01-12    0.718561\n",
      "2016-01-13    1.380494\n",
      "2016-01-14    0.368590\n",
      "2016-01-15   -0.235975\n",
      "2016-01-16   -0.847375\n",
      "2016-01-17   -1.777034\n",
      "2016-01-18    1.976097\n",
      "2016-01-19   -0.631212\n",
      "2016-01-20   -0.613633\n",
      "Freq: D, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "time=pd.Series(np.random.randn(20),index=pd.date_range('2016-01-01',periods=20))\n",
    "print(time)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- truncate过滤"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2016-01-01   -1.503070\n",
       "2016-01-02    1.637771\n",
       "2016-01-03   -1.527274\n",
       "2016-01-04    1.202349\n",
       "2016-01-05   -1.214471\n",
       "2016-01-06    2.686539\n",
       "2016-01-07   -0.665813\n",
       "2016-01-08    1.210834\n",
       "2016-01-09    0.973659\n",
       "2016-01-10   -1.003532\n",
       "Freq: D, dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time.truncate(before='2016-1-10')#1月10之前的都被过滤掉了\n",
    "time.truncate(after='2016-1-10')#1月10之前的都被过滤掉了"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据重采样\n",
    "- 时间数据由一个频率转换到另一个频率\n",
    "- 降采样\n",
    "- 升采样"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2011-01-01   -1.060775\n",
       "2011-01-02    0.619874\n",
       "2011-01-03    1.031279\n",
       "2011-01-04    0.965598\n",
       "2011-01-05   -0.680207\n",
       "Freq: D, dtype: float64"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "rng = pd.date_range('1/1/2011', periods=90, freq='D')#数据按天\n",
    "ts = pd.Series(np.random.randn(len(rng)), index=rng)\n",
    "ts.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2011-01-31     6.806500\n",
       "2011-02-28    -0.552457\n",
       "2011-03-31   -12.085283\n",
       "Freq: M, dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts.resample('M').sum()#数据降采样，降为月，指标是求和，也可以平均，自己指定"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2011-01-01    0.590378\n",
       "2011-01-04   -0.437673\n",
       "2011-01-07   -0.890737\n",
       "2011-01-10    1.439092\n",
       "2011-01-13   -1.614242\n",
       "2011-01-16    1.494353\n",
       "2011-01-19    1.237958\n",
       "2011-01-22    4.936776\n",
       "2011-01-25   -0.793408\n",
       "2011-01-28    0.576662\n",
       "2011-01-31    0.341717\n",
       "2011-02-03    1.358167\n",
       "2011-02-06    0.409750\n",
       "2011-02-09    0.529870\n",
       "2011-02-12    0.041845\n",
       "2011-02-15   -0.927650\n",
       "2011-02-18   -1.104017\n",
       "2011-02-21    0.345795\n",
       "2011-02-24   -0.713707\n",
       "2011-02-27   -3.376557\n",
       "2011-03-02   -1.964253\n",
       "2011-03-05   -2.261318\n",
       "2011-03-08   -0.666843\n",
       "2011-03-11    0.388485\n",
       "2011-03-14   -2.268301\n",
       "2011-03-17    0.456104\n",
       "2011-03-20    1.069673\n",
       "2011-03-23   -0.980773\n",
       "2011-03-26   -2.980024\n",
       "2011-03-29   -0.068359\n",
       "Freq: 3D, dtype: float64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts.resample('3D').sum()#数据降采样，降为3天"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2011-01-01    0.196793\n",
       "2011-01-04   -0.145891\n",
       "2011-01-07   -0.296912\n",
       "2011-01-10    0.479697\n",
       "2011-01-13   -0.538081\n",
       "2011-01-16    0.498118\n",
       "2011-01-19    0.412653\n",
       "2011-01-22    1.645592\n",
       "2011-01-25   -0.264469\n",
       "2011-01-28    0.192221\n",
       "2011-01-31    0.113906\n",
       "2011-02-03    0.452722\n",
       "2011-02-06    0.136583\n",
       "2011-02-09    0.176623\n",
       "2011-02-12    0.013948\n",
       "2011-02-15   -0.309217\n",
       "2011-02-18   -0.368006\n",
       "2011-02-21    0.115265\n",
       "2011-02-24   -0.237902\n",
       "2011-02-27   -1.125519\n",
       "2011-03-02   -0.654751\n",
       "2011-03-05   -0.753773\n",
       "2011-03-08   -0.222281\n",
       "2011-03-11    0.129495\n",
       "2011-03-14   -0.756100\n",
       "2011-03-17    0.152035\n",
       "2011-03-20    0.356558\n",
       "2011-03-23   -0.326924\n",
       "2011-03-26   -0.993341\n",
       "2011-03-29   -0.022786\n",
       "Freq: 3D, dtype: float64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "day3Ts = ts.resample('3D').mean()\n",
    "day3Ts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2011-01-01    0.196793\n",
      "2011-01-02         NaN\n",
      "2011-01-03         NaN\n",
      "2011-01-04   -0.145891\n",
      "2011-01-05         NaN\n",
      "                ...   \n",
      "2011-03-25         NaN\n",
      "2011-03-26   -0.993341\n",
      "2011-03-27         NaN\n",
      "2011-03-28         NaN\n",
      "2011-03-29   -0.022786\n",
      "Freq: D, Length: 88, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(day3Ts.resample('D').asfreq())#升采样，要进行插值"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 插值方法：\n",
    "- ffill 空值取前面的值\n",
    "- bfill 空值取后面的值\n",
    "- interpolate 线性取值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2011-01-01    0.196793\n",
       "2011-01-02    0.196793\n",
       "2011-01-03         NaN\n",
       "2011-01-04   -0.145891\n",
       "2011-01-05   -0.145891\n",
       "                ...   \n",
       "2011-03-25         NaN\n",
       "2011-03-26   -0.993341\n",
       "2011-03-27   -0.993341\n",
       "2011-03-28         NaN\n",
       "2011-03-29   -0.022786\n",
       "Freq: D, Length: 88, dtype: float64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "day3Ts.resample('D').ffill(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2011-01-01    0.196793\n",
       "2011-01-02         NaN\n",
       "2011-01-03   -0.145891\n",
       "2011-01-04   -0.145891\n",
       "2011-01-05         NaN\n",
       "                ...   \n",
       "2011-03-25   -0.993341\n",
       "2011-03-26   -0.993341\n",
       "2011-03-27         NaN\n",
       "2011-03-28   -0.022786\n",
       "2011-03-29   -0.022786\n",
       "Freq: D, Length: 88, dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "day3Ts.resample('D').bfill(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2011-01-01    0.196793\n",
       "2011-01-02    0.082565\n",
       "2011-01-03   -0.031663\n",
       "2011-01-04   -0.145891\n",
       "2011-01-05   -0.196231\n",
       "                ...   \n",
       "2011-03-25   -0.771202\n",
       "2011-03-26   -0.993341\n",
       "2011-03-27   -0.669823\n",
       "2011-03-28   -0.346305\n",
       "2011-03-29   -0.022786\n",
       "Freq: D, Length: 88, dtype: float64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "day3Ts.resample('D').interpolate('linear')#线性拟合填充"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pandas滑动窗口：\n",
    "- 滑动窗口就是能够根据指定的单位长度来框住时间序列，从而计算框内的统计指标。  \n",
    "- 相当于一个长度指定的滑块在刻度尺上面滑动，每滑动一个单位即可反馈滑块内的数据。\n",
    "\n",
    "- 滑动窗口可以使数据更加平稳，浮动范围会比较小，具有代表性，单独拿出一个数据可能或多或少会离群，有差异或者错误，使用滑动窗口会更规范一些。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2016-07-01    0.391383\n",
       "2016-07-02    1.529039\n",
       "2016-07-03   -0.807703\n",
       "2016-07-04    0.770088\n",
       "2016-07-05    0.476651\n",
       "Freq: D, dtype: float64"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pylab\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "df = pd.Series(np.random.randn(600), index = pd.date_range('7/1/2016', freq = 'D', periods = 600))\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2016-07-01         NaN\n",
      "2016-07-02         NaN\n",
      "2016-07-03         NaN\n",
      "2016-07-04         NaN\n",
      "2016-07-05         NaN\n",
      "                ...   \n",
      "2018-02-16    0.262464\n",
      "2018-02-17    0.114787\n",
      "2018-02-18    0.088134\n",
      "2018-02-19    0.011999\n",
      "2018-02-20    0.190583\n",
      "Freq: D, Length: 600, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "r = df.rolling(window = 10)\n",
    "#r.max, r.median, r.std, r.skew倾斜度, r.sum, r.var\n",
    "print(r.mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1afcea67f48>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    " \n",
    "plt.figure(figsize=(15, 5))\n",
    " \n",
    "df[:].plot(style='r--')\n",
    "df[:].rolling(window=10).mean().plot(style='b')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据平稳性与差分法：\n",
    "- 基本模型：自回归移动平均模型(ARMA(p，q))是时间序列中最为重要的模型之一。  \n",
    "- 它主要由两部分组成： AR代表p阶自回归过程，MA代表q阶移动平均过程。\n",
    "\n",
    "### 平稳性\n",
    "- 要求经由时间序列所得到的的拟合曲线在未来一段时间内仍能顺着现有形态‘惯性’延续下去\n",
    "- 即均值和方差不发生明显变化\n",
    "- ARIMA 模型对时间序列的要求是平稳型。\n",
    "- 因此，当你得到一个非平稳的时间序列时，首先要做的即是做时间序列的差分，直到得到一个平稳时间序列。\n",
    "- 如果你对时间序列做d次差分才能得到一个平稳序列，那么可以使用ARIMA(p,d,q)模型，其中d是差分次数\n",
    "### ARIMA(p,d,q)\n",
    "- 当数据差异特别大时，为了使数据变得平稳些，可以使用差分法\n",
    "- 即时间序列在t与t-1时刻的差值\n",
    "- 二阶差分是指在一阶差分基础上再做一阶差分。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2016-07-01   -0.451037\n",
       "2016-07-02   -1.075953\n",
       "2016-07-03    0.573926\n",
       "2016-07-04   -1.643342\n",
       "2016-07-05   -0.716047\n",
       "Freq: D, dtype: float64"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pylab\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "df = pd.Series(np.random.randn(100), index = pd.date_range('7/1/2016', freq = 'D', periods = 100))\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2016-07-01   -0.624916\n",
       "2016-07-02    1.649879\n",
       "2016-07-03   -2.217268\n",
       "2016-07-04    0.927295\n",
       "2016-07-05    0.127485\n",
       "                ...   \n",
       "2016-10-04    0.741750\n",
       "2016-10-05   -0.428181\n",
       "2016-10-06    1.131188\n",
       "2016-10-07   -0.223598\n",
       "2016-10-08         NaN\n",
       "Freq: D, Length: 100, dtype: float64"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shift(-1) -df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2016-07-01         NaN\n",
       "2016-07-02         NaN\n",
       "2016-07-03    1.024963\n",
       "2016-07-04   -0.567389\n",
       "2016-07-05   -1.289973\n",
       "                ...   \n",
       "2016-10-04   -0.340782\n",
       "2016-10-05   -0.534524\n",
       "2016-10-06    0.313570\n",
       "2016-10-07    0.703007\n",
       "2016-10-08    0.907590\n",
       "Freq: D, Length: 100, dtype: float64"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.diff(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1afd3a71108>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei'] #中文支持\n",
    "plt.rcParams['axes.unicode_minus'] = False #正常显示负号\n",
    "x = df.index\n",
    "y = df\n",
    "plt.figure(figsize=(15,6))\n",
    "plt.plot(x,y)\n",
    "plt.title('原数据')\n",
    "\n",
    "newx = df.index\n",
    "y = df.diff(1)\n",
    "plt.figure(figsize=(15,6))\n",
    "plt.plot(x,y,label = '一阶')\n",
    "plt.title('一二阶差分')\n",
    "y = y.diff(1)\n",
    "plt.plot(x,y,label = '二阶')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 自回归 AR\n",
    "- 用自身变量的历史时间对自己预测\n",
    "- 自回归模型必须满足平稳性（可以使用差分）\n",
    "- p阶自回归过程公式：   y = u + 求和a*y(t-i) + e \n",
    "- y 是当前值， u是常数项， e 是误差项（服从独立同分布） y(t-i)当前预测的值与前P天相关 ,a是自相关系数\n",
    "\n",
    "### 自回归模型限制 \n",
    "- 用自身来预测\n",
    "- 平稳性\n",
    "- 自相关性  判断自相关系数！！\n",
    "- 只适用于预测与自身前期相关的现象"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 移动平均模型（MA）\n",
    "- 关注自回归模型中的误差项的累加\n",
    "- q阶自回归过程的 定义:  y = u + e + b*e(t-i)\n",
    "- 移动平均能有效消除预测中的随机波动\n",
    "\n",
    "### ARIMA \n",
    "- I表示差分项，1是一阶，0是不用做，一般做1阶就够了\n",
    "\n",
    "- 原理:将非平稳时间序列转化为平稳时间序列 ，然后将隐变量仅对它的滞后值以及随机误差项的现值和滞后值进行回归所建立的模型。（滞后指阶数）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 自相关函数ACF\n",
    "- 有序的随机变量与其自身相比较\n",
    "- ACF反映了同一序列在不同时序的取值之间的相关性\n",
    "- ACF(k) = cov（y(t),y(t-k)）/var(y(t))      [-1,1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 如何确定 pq参数？\n",
    "- 利用ACF 和 PCAF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "=========================================="
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 实例操作\n",
    "- 利用ARIMA进行时间序列数据分析（Python）-  https://blog.csdn.net/u012735708/article/details/82460962"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "主要分为4部分\n",
    "1. 用pandas处理时序数据\n",
    "2. 检验序数据的稳定性\n",
    "3. 处理时序数据变成稳定数据\n",
    "4. 时序数据的预测"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1 用pandas导入和处理时序数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    112.0\n",
       "1949-02-01    118.0\n",
       "1949-03-01    132.0\n",
       "1949-04-01    129.0\n",
       "1949-05-01    121.0\n",
       "Name: Passengers, dtype: float64"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from datetime import datetime\n",
    "import matplotlib.pylab as plt\n",
    "import tqdm\n",
    "import statsmodels\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "    \n",
    "# 读取数据，pd.read_csv默认生成DataFrame对象，需将其转换成Series对象\n",
    "df = pd.read_csv('international-airline-passengers.csv', encoding='utf-8', index_col='Month')\n",
    "df.index = pd.to_datetime(df.index)  # 将字符串索引转换成时间索引\n",
    "ts = df['Passengers']  # 生成pd.Series对象\n",
    "ts = ts.astype('float')\n",
    "ts.head()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['1949-01-01', '1949-02-01', '1949-03-01', '1949-04-01',\n",
       "               '1949-05-01', '1949-06-01', '1949-07-01', '1949-08-01',\n",
       "               '1949-09-01', '1949-10-01',\n",
       "               ...\n",
       "               '1960-03-01', '1960-04-01', '1960-05-01', '1960-06-01',\n",
       "               '1960-07-01', '1960-08-01', '1960-09-01', '1960-10-01',\n",
       "               '1960-11-01', '1960-12-01'],\n",
       "              dtype='datetime64[ns]', name='Month', length=144, freq=None)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "112.0"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts['1949-01-01']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "112.0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts[datetime(1949,1,1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    112.0\n",
       "1949-02-01    118.0\n",
       "1949-03-01    132.0\n",
       "1949-04-01    129.0\n",
       "1949-05-01    121.0\n",
       "1949-06-01    135.0\n",
       "Name: Passengers, dtype: float64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts['1949-1' : '1949-6']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 检验序数据的稳定性"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "因为ARIMA模型要求数据是稳定的，所以这一步至关重要。  \n",
    "- 2.1 判断数据是稳定的常基于对于时间是常量的几个统计量：  \n",
    "    常量的均值  \n",
    "    常量的方差  \n",
    "    与时间独立的自协方差  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 2.2 python判断时序数据稳定  平稳性检验一般采用观察法和单位根检验法。  \n",
    "\n",
    "    观察法：需计算每个时间段内的平均的数据均值和标准差。  \n",
    "    \n",
    "    单位根检验法：通过Dickey-Fuller Test 进行判断，大致意思就是在一定置信水平下，对于时序数据假设 Null hypothesis: 非稳定。这是一种常用的单位根检验方法，它的原假设为序列具有单位根，即非平稳，对于一个平稳的时序数据，就需要在给定的置信水平上显著，拒绝原假设。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 移动平均图\n",
    "def draw_trend(timeseries, size):\n",
    "    f = plt.figure(facecolor='white')\n",
    "    # 对size个数据进行移动平均\n",
    "    rol_mean = timeseries.rolling(window=size).mean()\n",
    "    # 对size个数据移动平均的方差\n",
    "    rol_std = timeseries.rolling(window=size).std()\n",
    " \n",
    "    timeseries.plot(color='blue', label='Original')\n",
    "    rol_mean.plot(color='red', label='Rolling Mean')\n",
    "    rol_std.plot(color='black', label='Rolling standard deviation')\n",
    "    plt.legend(loc='best')\n",
    "    plt.title('Rolling Mean & Standard Deviation')\n",
    "    plt.show()\n",
    "\n",
    "def draw_ts(timeseries):\n",
    "    f = plt.figure(facecolor='white')\n",
    "    timeseries.plot(color='blue')\n",
    "    plt.show()\n",
    "\n",
    "#Dickey-Fuller test:\n",
    "def teststationarity(ts,max_lag = None):\n",
    "    dftest = statsmodels.tsa.stattools.adfuller(ts,maxlag= max_lag)\n",
    "    # 对上述函数求得的值进行语义描述\n",
    "    dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])\n",
    "    for key,value in dftest[4].items():\n",
    "        dfoutput['Critical Value (%s)'%key] = value\n",
    "    return dfoutput\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#查看原始数据的均值和方差\n",
    "draw_trend(ts,12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 通过上图，我们可以发现数据的移动平均值/标准差有越来越大的趋势，是不稳定的。接下来我们再看Dickey-Fuller的结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Test Statistic                   0.815369\n",
       "p-value                          0.991880\n",
       "#Lags Used                      13.000000\n",
       "Number of Observations Used    130.000000\n",
       "Critical Value (1%)             -3.481682\n",
       "Critical Value (5%)             -2.884042\n",
       "Critical Value (10%)            -2.578770\n",
       "dtype: float64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "teststationarity(ts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 此时p值为0.991880，说明并不能拒绝原假设。通过DF的数据可以明确的看出，在任何置信度下，数据都不是稳定的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3 处理时序数据变成稳定数据"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "数据不稳定的原因主要有以下两点：\n",
    "\n",
    "- 趋势（trend）-数据随着时间变化。比如说升高或者降低。\n",
    "- 季节性(seasonality)-数据在特定的时间段内变动。比如说节假日，或者活动导致数据的异常。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 3.1 对数变换  \n",
    "对数变换主要是为了减小数据的振动幅度，使其线性规律更加明显，同时保留其他信息。这里强调一下，变换的序列需要满足大于0，小于0的数据不存在对数变换。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_log = np.log(ts)\n",
    "draw_trend(ts_log,12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 可以看出经过对数变换后，数据值域范围缩小了，振幅也没那么大了。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 3.2 平滑法\n",
    "\n",
    "根据平滑技术的不同，平滑法具体分为移动平均法和指数平均法。\n",
    "\n",
    "移动平均即利用一定时间间隔内的平均值作为某一期的估计值，而指数平均则是用变权的方法来计算均值。\n",
    "\n",
    "移动平均："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fvx4a4mn4FGcgLS2N/fv3M2zYMAA2b97M6dOnOXPmDLGxsTRq1IjWrVubfOkbN27w999/ExwcTPfu3fHx8WHz5s2Eh4dz7tw5/v33X+rVq8fQoUMNnu/k5MS2bdu4e/cua9euZeDAgezatQuQqz7Xr1/PkSNHsLKyYuzYsaxevZpBgwbx1VdfUbZsWdLS0mjXrh1nz57Vu2uWL1+ekydPsmjRImbPns0vv/xi8vdRKF40MpqMFeSI/vx5qFsXLLMoc9GicuFUgY3o79+/z6FDh/SiVrhw4WxVkZo3b06ZMmUAaNq0KVEFcat7Bnj48CEeHh6UK1eOO3fu0KFDB0BaEffr1w8LCwsqVapEmzZtOH78uMntent7U6hQIZydnYmJidG3+cYbb1CoUCEqV65M27Ztc22jV69erFu3jn/++YdWrVrpt+/fv58TJ07QqFEjPDw82L9/P2FhYQD89ttvNGzYkAYNGnD+/HkuXLiQqT3IbJmsULyMCCFDKrpwSpUqoNEUjNAHBUH9+ob3PUmKpdERfVhYGBUqVGDIkCGcOXMGT09P/ve//+Voy7t06VJee+01/WeNRkPHjh3RaDSMGjWKkSNHGjxvyZIlLFmyBIBbt27l3qmn4VNMeow+Li6Orl27snDhQt59912TrYhzIqNFsa6tvLbZt29fGjZsyNtvv02hQun3byEEb7/9NjNnzsx0/NWrV5k9ezbHjx+nTJkyDB48mKSkpGx9srCwIDU1Nc/fSaF4UbhzB+7dSxd6Kysp9uYW+vh4GZrJQSKpUSP/gQyjI/rU1FROnjzJmDFjOHXqFNbW1jlmjPj5+bF06VK+/fZb/bYjR45w8uRJdu3axcKFCzl06JDBc0eOHElgYCCBgYFUqFAhf9/mP6JUqVLMmzeP2bNnk5KSQuvWrVm/fj1paWncunWLQ4cO0bhx4ye6RsuWLdm0aRNarZaYmBijPvQ1atTgq6++YuzYsZm2t2vXjo0bN/Lvv/8CcOfOHSIiIrh//z7W1taUKlWKmJgYfahHoVBkxlAmTPXq5o/R6x6oHyfqZaNmTXkjyM+40qjQ29raYmtrS5MmTQDw8fHh5MmT2Y47e/Ysw4cPZ9u2bZQrV06/vWrVqgBUrFiRnj17EhAQkPdePoM0aNAAd3d31q1bR8+ePXFzc8Pd3Z1XX32V7777jsqVKz9R+71798bW1hYXFxdGjRpFkyZNjNobjxo1ilo6E+vHODs78+WXX9KxY0fc3Nzo0KEDN27cwN3dnQYNGlC/fn2GDh1KixYtnqi/CsXTYscOuHq14NrXCb0uRg9S6M09og8Kkq85hW7s7ODRI7lwKs8IE2jZsqUIDg4WQggxbdo0MWnSpEz7IyIiRK1atcSRI0cybU9ISBD379/Xv2/WrJnYtWuX0et5enpm23bhwgVTuvpCER8fL4QQIjY2Vjg4OIgbN2485R69mLyMf1svCn/8IQQIMWZMwV1j2jQhNBohkpLSt02cKETx4kJotea7zsSJQhQtKkRqquH9R47I77p1q+H9hnRTh0lZN/Pnz2fAgAEkJyfj4OCAr68vPz42exg9ejTTp0/n9u3b+rCBpaUlgYGBxMTE0LNnT0CGgPr370/nzp3zcTt6OenatSv37t0jOTmZzz777ImfEhSKF4mICBg0SL7P1yjXREJDZXw8w1QatraQmChL/BkoFZ0vzp+HevUym5llpEEDOT9w7Bj06JG3tk0Seg8Pj2xWu6NHj9a//+WXXwym3zk4OGTKqVfkDVUfVqEwTHIy9OkDqalSHG/cKLhrZUyt1JExxdKcQv/qqznvL1YM3N0hQ+a6yaiVsQqF4rljzx4peIsWgZcX3LxZcNfKmFqpw9yLpu7dg+jonOPzOpo2hYAAabKWF5TQKxSK5w5doKBHD5nqePNm/rJRjHHnjvyXk9Cba0L2/Hn5aorQP3iQfrypKKFXKBTPHUFBMgvFxkauGE1OlqNic3PlinzNGrqpXFnG0s0t9DmlVupo2lS+HjuWt/aV0CsUiueOc+fA1VW+1+UoFEScPieTMQsLqFrVfEIfFATW1unmZTnh4CD98JXQFxATJ07khwwrcjt16sTw4cP1nz/44APmzJmTaxvNmzc3eh07OzuD9sIHDhzg6NGjeehx7u3pzObc3Nxo06YNESasrS5RogSQ2X45MDCQd999N8/9MsTnn3+ORqMhVJe4DMydOxeNRqPq7ir0PHoEly6lC32VKvK1IOL0ISHS7sDePvs+c+XSJybC/v0ybFPIiCJrNHJUrxf61FT5Yfr0XM9TQm8izZs31wutVqslNjaW8xkCZUePHjW66Cg/Qq0jv0KfG35+fpw9e5ZXXnmFL7/8Ml9teHl5MW/ePLP1ydXVlXXr1uk/b9y4EWdnZ7O1rygYHj6EpUvl8v2WLaEgE8aCg+VkZNYRfUEIfVAQ1KolM16yYo7Vsamp0LevdK385BPTzmnhmUSTi74k9/CBChWgWTNZ3zAXlNCbSIsWLfRCe/78eVxcXLCxseHu3bs8evSIixcv0qBBAwBmzZpFo0aNcHNzy2T/qxsRG7Mgnj9/fiaL4PDwcH788Ufmzp2Lh4cHhw8f5tatW/Tu3ZtGjRrRqFEjjhw5AsDt27fp2LEjDRo0YNSoUSZ55mS0XAaYM2cOLi4uuLi4ZHqKMUTGgiqff/45Q4cO5ZVXXsHBwSHTDWDGjBnUrVuXDh060K9fP2bPnm2wPW9vb723flhYGKVKlcpkibF3716aNWtGw4YNeeONN0hISABg+vTpNGrUCBcXF0aOHKn/3q+88goff/wxjRs3pnbt2hw+fNjo76HIO7/+CsOHw4YNMhtmy5aCu9a5c/L1vwjdnDkDjw1ds6Eb0Wu1+W9/7Fj44w9YsAC8vY0cHBcHP/zAhAW18GUo2qP/QO/esH49GPEHMymP/lljwoQJnDazTbGHh0euola1alUsLS2JjIzk6NGjenH09/enVKlSuLm5UbhwYfbu3UtISAgBAQEIIejevTuHDh3KZFtszILYkEXw6NGjKVGiBJMmTQKgf//+TJw4kZYtWxIZGUmnTp24ePEiX3zxBS1btmTq1Kns2LFDbxSXG7t378b78V/ZiRMn8PX15Z9//kEIQZMmTWjTpo3+JmaM4OBg/Pz8iI+Pp06dOowZM4YzZ86wadMmTp06RWpqKg0bNsTT09Pg+SVLlqR69eoEBQWxbds2+vTpg6+vLwCxsbF8+eWX/Pnnn1hbW/Ptt98yZ84cpk6dyrhx45g6dSoAb731Ftu3b6dbt26AXKwXEBDAzp07+eKLL/jzzz9N+i4K0zl6FCpWlKNqT8/02HZBEBQkFw7Vri0/lyolbXzNPaJ/8EDm0A8caHi/o6MMI0VFGY+tG+LSJfj5Z3j/fSn4BklIkHeCdetg925ITsay5Su8+vevdHy/LZM/0Zh0redS6J8WulH90aNHef/994mOjubo0aOUKlVKH3/fu3cve/fu1QtjQkICISEhmYTemAVxRovgzZs3G+zLn3/+mclW+P79+8THx3Po0CH9Oa+//rrePtoQbdu2JSYmhooVK+pDN3///Tc9e/bUu5P26tWLw4cPmyz0r7/+OkWKFKFIkSJUrFiRmJgY/v77b3r06EGxx8+/OgHOib59+7Ju3Tr27NnD/v379UJ/7NgxLly4oA+RJScn06xZM0CGob777jsSExO5c+cO9evX119HWS4XPMeOyQiCRiMzVAzYYZmNc+ekZ7uVlfys0chRvbmFPihIpmzmNKLXRRQvXMif0OsisRmm+tI5dQq++w62bZNxsapV5d2gXz8sGzfmbHmonQfL4udS6I2FEwoKXZz+3LlzuLi4UL16db7//ntKliypH5ELIfjkk08YNWpUju0YC6eYYhGs1Wrx9/fXi2dGNBrT7vJ+fn5YW1szePBgpk6dypw5c8xquazrf17b7NatGx9++CFeXl6ULFlSv10IQYcOHVi7dm2m45OSkhg7diyBgYFUr16dzz//XFku/4fcuSNHp2+/LT/Xrg2bNkFKSroYm5Nz5yBDyQVACr25Qzdnz8pXd3fD+zMKfX6cXfz9oXRpqFMnw8YTJ+DLL2HrVvmoMmSIXALcsmWmmVp7e8jLmEXF6PNAixYt2L59O2XLlsXCwoKyZcty7949/P399SPLTp06sWzZMn3sODo6Wm8RrCOvFsQANjY2mQqAd+zYkQULFug/60JZrVu3ZvXq1QDs2rWLu3fv5tpusWLF+OGHH1i5ciV37tyhdevWbN26lcTERB48eMCWLVsyFTLJDy1btuSPP/4gKSmJhIQEduzYYbRP3377LVOmTMm0vWnTphw5ckSflZOYmMjly5f1ol6+fHkSEhJyLLmoKBh0hrS6HG8nJzlZWhCOkvfuybi4Lj6vQ7doypycOSPz9HWFubNSrpwMV2V4sM4T/v7yNyukEXDwIHTqJJf5HjgAX3whlXzhQmjdOls6jp1d3n5fJfR5wNXVldjYWJrq/qIfbytVqpS+VGLHjh3p378/zZo1w9XVFR8fn0wCDfmzIO7WrRtbtmzRT8bOmzePwMBA3NzccHZ21pvMTZs2jUOHDtGwYUP27t1LDROeKatUqUK/fv1YuHAhDRs2ZPDgwTRu3JgmTZowfPhwk8M2OdGoUSO6d++Ou7s7vXr1wsvLy+j31RVSyUiFChVYvnw5/fr1w83NjaZNmxIcHEzp0qUZMWIErq6ueHt706hRoyfqryJvHDsmdUhXEloXO7982fzX0iW6ZRX6ggjdnD0rwza5pTw6O+dP6OPi4HyQ4K1yO+Vo/ZVX5J3l22+lW9vUqXK4nwP29vIwkyeC82+qWXC8DDbFL5sFse77PnjwQHh6eooTJ0485R6l86L9bf3XdOokhJtb+ufYWGmnO2eO+a+1eLFsOzw88/YvvpDbHz0yz3W0WiFKlTJufzx2rDwur3bFfy+7JHbTUXa6Zk0hFi4UIjHR5PMXLpSnRkenb3tim2KF+XnZLIhHjhzJhQsXSEpK4u233842Wlc8n2i1Mp3yzTfTt5UrB2XKFMyIPihIhlOyPqjqFk3FxKT70DwJkZFy1J1TfF6Hs7M87vp1qFYtlwMfPYIlS+DQIYiIoOnJ0yRQjIff/I9i74/J82SGnZ18DQ+X87RZosPZUEL/lHjZLIjXrFnztLugKAAuX5Zx8wzRTECGbwoixfLqVZnWmDXfIOOiKXMIvc40LaeMGx0ZJ2QNCr0Q8NtvcjXU1aty9VWtWmyt8S7zCn/IwY8r5alfKSkpXLhwgXPnzgIOhIY2onnzwvzxR+7nPVdCL4QwOaNEoTAFURCWhy8RuqX4WYXeyUnOL5qbyEiplVkx96IpXcaNMZMxndvkhQvQoUOWnYcPw6RJcrbazU16K3fsiFYLI8rLtU6mEhYWxsyZM1m9ejUPHz7Ubx8+vDjffFOTqKiH1K5dLsfzn5vJ2KJFi3L79m31P6bCbAghuH37NkWLFn3aXXluOXZMZgFmShFEjuivXZMp4OYkMtJwzrq5/W7OnJE3FBub3I+rUEGGqjJNyCYkwLBhMlsmKgp8feXCgo4dAfkUdPdu9pujIYQQfPjhh9SuXZtff/2VAQMGsGbNGs6dO0epUptxchpG/fr1sbTMPTPuuRnR29raEhUVxS0jS30VirxQtGhRbG1tn3Y3nluCgmQcO2tmis7WNzQ0e4ZMfomLg/v3DQt9xYry1RxCLwQcPw6mTCNpNFkybwIDoX9/+cU/+QQ+/ZTj54vjoQWrxyUC/f3l6+OM7Fz6IRg3bhyLFi1i2LBhTJ8+napVq+r3163rgo1NT379VXdD8sqxredG6K2srLA3ZCGnUCiykZYmJwjNEa/OjYgIw+XvdCmWISHmE/rISPlqSOgLF5Yja3OEbv75R36vDDZVueLsDEfXRiAGfYZm1SoZrPfzgzZtWL1aWijMnw/jxsnjd+2Soaa6dXNuUwjBhAkTWLRoEZMmTeK7777LFra2t5c3pNOnpTlabpgUurl37x4+Pj7UrVuXevXq4a+7JWXo1LvvvoujoyNubm6czLD+ecWKFTg5OeHk5MSKFStMuZxCoXhC5s2TC31++qngrpGcLG8mugyQjOhG9OackPuL0QkAACAASURBVM1N6MF8i6ZWrZLeOY+dM3Ln7l1GhHxEwP06ctL1o4/k0t02bbhyBcaMkYf99pt8ffRICn23brnn53/99dfMmzePiRMnGhR5kL97ZKSJNWRNydkcNGiQ+Pnnn4UQQjx69EjcvXs30/4dO3aIzp07C61WK/z9/UXjxo2FEELcvn1b2Nvbi9u3b4s7d+4Ie3t7cefOHaPXyy0fVKFQGKdbN5lnDUJ89VXe87xN4coV2f7SpYb3V6okxNCh5rveokXZc8cz0r69EE2b5r3d2FghAgLk++RkIcqVE+LNN42clJQkxPffC1GmjNBqNMKXt8XfayL0ux89EqJRIyFKlxZi+HAhNBohrl8XYvdu+R22b8+56V9//VUAYuDAgUKby3+4H3+UbbVtK3/r3HTT6Ij+/v37HDp0iGHDhgFQuHBhSmdZsbVt2zYGDRqERqOhadOm3Lt3jxs3brBnzx46dOhA2bJlKVOmDB06dGD37t0m3H4UCkV+EUKO8vr3l2GDKVMwmn6XH3S1agyN6EGGb8yZSx8ZKdPNc1pykl+/m2++gSZNYPt2mRhz+za89VYOByclwfLlMu7ywQfQuDGxe08xhOWcjE1/1PjlFxlW+eUXmDhR/jfZvBl+/x2KFzcc7gKppUOHDqVt27YsXbo01yxDXST74EEwthjcqNCHhYVRoUIFhgwZQoMGDRg+fDgPHjzIdEx0dDTVMwQDbW1tiY6OznG7IZYsWYKXlxdeXl5qwlWheAIiI+UCmhYtYNkysLTMe+k5U9AJfU5eME5O6TVXzUFkJNja5hzyqFVLZvokJuat3ZAQKcR9+8JXX8lYf6dOWQ66ehUmT5aTHkOGSHuCfftg927Kt3OnfPn0lEyAI0fkob17yxi+s7P06v/9d9l2Vi9CrVbLtGnT8Pb2xt3dnc2bN1O4cOFc+627wWq1ZhD61NRUTp48yZgxYzh16hTW1tZ88803mY4RBlIeNRpNjtsNMXLkSAIDAwkMDMxUaEKhUOQNXcy2SRM5AnZ0lBWMzE14uMw6yWnCt1YtOcLOMi7MN9eu5W4H7OYmRS+v3jMREVIoy5SRN8S+fR8vVE1IgI0bZUC9Vi2YPVumTP75p0yXbN8ekL+Bu3v6IiuQE6QeHumffXzkyDsqCrp3T98uhGDPnj20adOG6dOnM3jwYA4dOpQtamKIjDfYJxZ6W1tbbG1tadKkyeMO+2SabNUdcy1D8cSoqCiqVq2a43aFQlFw/PMPFCmSnu1Sr17+HRZzIyJCLr/PaeCpK6htrlF9Tjn0OnTfN+PI2hTCw6FxYxneatkSJniHy5hXhQrwxhsyZfLTT+WBmzZBu3bZlua6uclU07Q0+UQRHAwZvQB9fORroULw+utyAL1u3ToaNmxI586dCQsL45dffmHZsmUGrccNUaSI/P3BDEJfuXJlqlevzqVLlwDYv39/thqe3bt3Z+XKlQghOHbsGKVKlaJKlSp06tSJvXv3cvfuXe7evcvevXvplO2ZSKFQmJOAAJkDrhNgZ2cptsnJ5r1OeHjOYRtIX8FqDqFPSzNeycnBQca/8yL0cXHSwsHODjzs7nG49RQcu9aVtRCHD5eWwdeuyeLbuay3cHOTi8OuXJGCr9XKEb1WqyUsLIy0tDPY2wdQp85aZs58nzp16tCvXz8ePnzI0qVLCQsLY9iwYXle+W9vL/v+2Dw3R0zKo58/fz4DBgwgOTkZBwcHfH199ba4o0ePpkuXLuzcuRNHR0eKFy+urwhUtmxZPvvsM71t7NSpUylbtmyevohCoTCdlBRZuyJj3Zt69aRQhoSkL9k3BxERua/u1An94/IBT8SNG/I75Cb0FhbSsiAvQh8RATbcp9OJ+fDVbKn6AwbIGVojC+nCw8PZvHkzly9f5ty5CKAaM2e6PA5VhTJr1gUGDz7B/fv3M5139WpRmjZtyuzZs+nRoweFcsuzNMJXX5k4J2EkieipoNIrFYr8cfKkTLlbsyZ924kTctuGDea7TmqqEJaWQnzySe7HlS8vxMiRT369I0fkd9i1K/fjhg+X6ZEmpZNevSpCvCeJe5SUjXfvLn9AI1y/fl2MHTtWWFlZCUCUK1dONGjQUEAFATz+V1J4eXmJ0aNHi59//lls2rRJbN++XZw6dUokJyeb9qXziLIpViheEnTVnh5PqQHpPjTmnJC9fl2uxswtdANyVG+O0I2xxVI63NxkSuPNm+n+N3pu3ZL+A3//LVctBQXhUMiC9bxBp72TKNvBcMH6jISGhtKyZUtu377N8OHDmTx5MjUf/wj160P16reIjdVgbV2OgwefHQNGJfQKxQvEP//IeG1GtxBraynI5hR6Y6mVOhwdpa4+KTqhz5bhc/Uq7NwJsbEAeF+4jy1hWLeKgNQ7MhSTlCTjPjqfACsrWXR21iy+vvQGX6+uyYP2xvtw/fp1OnTooM9EdM3i7eDmBkeOVOD2bRgx4gm/sJlRQq9QvECcPClL+mWd03N2Lhihz2mxlA5HR1izRi79z1A3Ps9EXU3BpdRNbC5clykt//wjbYCDgjIdZ1u0KPdx4JaVPSVbuEprzWLFZAC/bFk5qeDpqU9kP9Vb3qyMzYHevXuXTp06cevWLfz8/LKJPEihX7dOvs+YWvksoIReoXhBEEKGSdq0yb6vXj2ZQKLV5u6xYirh4fLVWCilVi3Zr/Dw7FbGgNwZHCwT2I8flzGhu3fT/Y1TUuDGDX6I+ZdCCNBN/trYyJzIIUNkYvrjmV8N0LmGhle84FcTrLUiIozfrBITE+natSuXL19mx44dOdYkzlik5AnLLJsdJfQKxX9AfLwMETs4FNw1bt+Wa3wMmbzWqye1MyLC8P68EhEhrYGLF8/9OF0ufWhoBqFPS5N3nU2bpO+Abq1NqVJyeF26tFyeqtHIkbiXFz//UZXUStV456uq8kesU0fuM4Cbm+mZN+Hhueegp6Sk4OPjw7Fjx/jtt99o3z7nGI+u7KCVlfy9nyWU0CsU/wHTp8PixVIgy+VcCOiJCAuTr4ZuJjrhuXDBPEJvLIdeR6YUy3//lX69y5fLpHhra1mWaepUuVKpdm0oVIg9e2SYacIEee6jR/DhehjUCuhq/JpubtKdIDnZ8GIu3VNNQoK8Oeb0PW7cuMHAgQP566+/WLJkCb2NlISqVk2urq1ZM+dFZE+L56bClELxPHP2rLQCWLKk4K5x9ap8zWlED+aL00dEmCb0FSpAXetreCx7V57w1VdyCeu6dfIRR7cwqW5dfUxp7lxpBHbihGxj6VL5ROTtbVrfXF1lxOfxGs9MBAVBiRJygjineQYhBFu3bsXd3R1/f398fX0ZYcLsqkYj+62zJn6WUEKvUPwH6HzZFyww/wpVHbkJfdmyUKlS/oR+1iwYP15GXEAmr0RGGo9tExqKZvgwzibWosW5xdCvn4zH79wJffpkd/Z6jM6uYfJkmTDz9ddywN+unWn91S3cDw7Ovm/1ahnCmjs3fZ5Bd8OKi4tj2bJluLm50bNnTypVqkRgYCCDBw827cLAZ5/ByJEmH/6foUI3CkUB8+iRHD02aSKTRX77TVqpmJuwMDmCLlHC8P66dQ2Pco2xapV8IklNhR9+kH1PSsqlFN7NmzJW9fPPYGnJnw6j+CbtQw4uMzJzixy5X7smQz5//intgqOjYcWK3DNj0tLS2LdvH/7+/ty+fR9IYevWdnTt2lnvHSOEnBYA2LZNV+EpkYCADXz++Rr8/PxISUnB1dWVFStW0LdvX6MOks8NBbJE6wlRK2MVLxIXLsiFlytXClGvnhANGxZMIZD27YV4XPPHIMOHywIVeUGrFaJkSbnCFYSws5Ov339v4OB794SYMkWI4sXlstkxY4S4fl1MniyElZUQKSnGrxcQINtfvz79Wq1a5fx7abVaMXv2bFG9enUBCI1GI0qWLCk0mhICECVKlBAtW7YUPj4+onv3QQJeE1WrNhPQTlhYdBNQWgCiVq1a4sMPPxRHjhzJtdjHs8wTFR5RKBRPhq74Rp06MoZ78qSJ5d/ySFhY7lk9jo4QEyMLbJvKvXvy+I8/lv45kZFy5en772c46O5dGXuvVUu+du8uY0SLFkGVKjg6ypi5btFTbujCNg0ayJCNRiMfDgyN5oUQfPTRR0yaNAknJyc2bNhAUlIScXFxtGx5l/r19zFgwAAsLS05d+4cBw/6ATE4OBSndOmHpKVdpUSJ1zhw4AAhISF89913NG/ePM/GYs8F/939xnTUiF7xIjFrlhyZ3rkjxL//yvezZ5v3Gikpxr1nNm2S1z5xwvR2dT45mzbJUXVsbIadERFCvP++ECVKyIO6dDHY+OHDcveOHcav99FHQhQunD76v3kz52M/++wzAYgxY8ZkG4UPGyZExYqZj/fwEKJFC/n+jz9knzp0MN6n5wU1olconiKXL0tbgjJlZAy9evX0jBJzERUlY+jGRvSQNzdJ3YSlnZ0cVZcrB5w6JR0eHRzgf/+TI/gzZ2DHDumPnAXd5GhWT3whZPLNW2+lP2VcuCCffCwfzx5WqmS4X1999RUzZsxg6NChLFiwINso3MlJZnPq2g0Lk8VAdAW/X3tNetN4Gre3eSFQk7EKRQETEiKFR4enp/mFPreMGx26nHZdBpAp6IW+hhZ27JLpKvv3yxnf996T/4wsjy1bVtZzzSj0Fy7A0KHpIax27WDwYLndWBGN77//nk8//ZSBAweyZMkSgza/ut87JET+3lu2yM89e8pXCwt5v7J8SRRQjegVigLm8mW5FkiHp6fclpdYuTFyWyylw9paViTKy4j++uUE3i+6kDLN60LXrjJn8bvvZGrM998b90B4jLNzZqF//335GyxbJp9wtmyRvupXr6Y/AWRFq9Uyc+ZMJk2axBtvvIGvry8WOayOzSj0AHv3yhF8xhuhlZVxj5sXhZfkfqZQPB0SEqR9S1ahBzmiNORLkx+uXpWj1Jzqt+pwdDRxRH/+PCxbxudLl1IiNQ7KNJbuZD4+jwuq5g1nZ5kiKSPj6bVZhwyRIZWffpJPOUIYFvrY2Fjefvttdu7cSZ8+ffj111+xzGU4nvHpJTlZLpAaNizP3X5hUEKvUBQgutFz1tANSGEzp9DXqGE8FOHkJO1lDBIbC2vXSkU+cQIsLTls3Zu/XCcw63AupaRMwNlZ5shHR8vXuLj06lQ9e8K8eTIqpDv20aNHXLx4kcDAQPbs2cO+fft4+PAhCxYsYOzYsUYzY4oXlwWiQkKkV1piIrzyyhN9hecaJfQKRQGiGz1nHNFXrChFyJxx+rAw0zxsMqZYliyJHO7u2CHFfccOOaPboAH88AOibz/edKzIsCecsNRqtVStegcox/nzGq5fB9Bib3+DI0fC+fffm9jYFGPLliJoNMcYOnQ7gYHHSXu8FLdq1ar06tWLd999F488+P86Ocnf389PhmjMdVN9HlFCr1AUILocel3Giw5zT8hevQrduhk/TvdkceV8Eg2OLYaZM6XnTKVKcmL17belWQxwO1aGnoxaHRhAq9WyZMkS1q9fz8mTJx/XTS3BsGGOJCQ8ACJ45ZXsXhBCgFbbiI8++ggPDw/c3d2pXbt2vnLbnZzkSlg/P2l0VlBmcs8DJgm9nZ0dNjY2WFhYYGlpSWBgYKb9s2bNYvXq1QCkpqZy8eJFbt26RdmyZY2eq1C8yISESFdDa+vM2z094fffZRjDxubJrvHggRylmzKir135Pu/iS+1u38Pta9C+vVzF1bFjtrhPxtTKvHDhwgWGDx+Ov78/bm5uDBgwAEdHR6ZMiaBQoVDABnv7Xnz0kR12dnZUqVKFP/98xKRJCbz2Wj127sxaAzB/ODlJd8rDh+Gdd8zS5POLKYn4NWvWFLdu3TIpaf/3338Xbdu2zde5OtSCKcWLQrNmQrzySvbtO3bIacmDB/Pe5ptvyoU/gYFyAVbnziYsSLp5U4gPPhBaGxshQETWaC7E/v3ZDktOFuLiRfl+wwbZ7unTpvftyJEjolixYqJs2bJi5cqVmRYytW4thKurEIUKCTFtWubzHj6U9gyzZpl+LWNs3aqb+hVi2zbztfus8p8WB1+7di39+vUzd7MKxXNJSEh67nZGdOuKTpyA1q1Nb0+rlZOpiYky37xMGTmiX7xYLgLKxv370ktg/nxISkLTty+v7ZlA5Vcb4ftq5kOFkFkwa9ZAYGB6br4pdsQAFy9epFu3blSrVo3Dhw9TuXLlTPudneHHH+X7plnmdosWlfMMRYuadi1T0IWpChXK22/8ImJSHr1Go6Fjx454enqyJBdD7cTERHbv3p3JoN/Uc5csWYKXlxdeXl7cunUrD19BoXg2uX9fJrJkjc+DXEBUtapMscwL0dFS5L/9VobUa9eWqYqjR2fJCdctO61bV+a99+wp/WdWryaxfiODKZYrV0obXyHkKeHhsthT6dKm9Cuazp07Y2VlxZ49e7KJPGROm2zcOHsbxYubp8yhDgcH+Zs0aGDad3ihMeWRIDo6WgghRExMjHBzcxMHc3jeXLdunejatWu+zjX1EUSheF44eVKGDTZuNLy/Y0ch8vqnvnevbPPAgRwO0GplDKdJE3mgp6e0hMzA0KHZXSwvXRLC2lqGmT74QIZXnJ2FaNDAeJ/u3r0rXF1dhY2NjTh58mSOx/35p+xSnTrG2zQXPXoIMX/+f3e9p8kTe91UrVoVgIoVK9KzZ08CAgIMHrdu3bpsYRtTz1UoXjSuXJGvusU7WXF2loNsrdb0NnWFQ6SXehZCQmQO4euvS0/4JUukx0AWTwEnJzl5GxeXvm3iRChSRHrPf/CBnJe9cMH4RGxSUhLe3t4EBwezefNmGuRSFVs3os8atilItm6FceP+u+s9qxgV+gcPHhAfH69/v3fvXlxcXLIdFxcXx8GDB+nRo0eez1Uo/mv27YOFCwv2GsaEvl49GYYxxb5XR3CwDENUrJhho1YrY/Du7nDunAyEX74MI0YYLKCd1WRMCHk/6NVLZghVqQKDBsl9uQl9UlISffv25eDBg6xYsSLXwtkgw1XvvSftjhX/LUYnY2NiYuj5eDYpNTWV/v3707lzZ358PKsyevRoALZs2ULHjh2xzpBHltO5CsXT5rvvZAWjmjWlhUtBEBoq3SpzSp/UCe7Fi6anMAYHy9G8Ph5/+rQM0P/zD3TpIqs6PX6KzonHafKcOyerRMXEyDRE3XaADz+UMfucxmUJCQl4e3uzf/9+Fi5caFIChkYjK1QpngL/YQjJZFSMXlHQ2NrKeHHFikLExBTMNdq2lemVOREbm3dv+ipVhBg8WAgRHy+94C0s5JdYtcrkslVpaTIeP368/KyL+2fNtrx+XYjU1OznHz58WHh6egoLCwuxYsUK0zuvKFCUH71CkYH4eOnf3q+fjFMPHy7DF+bmypWcwzYgV2pWqpTdpz0n4uLgxg3oKv6QjwNz5sjOBwdLf3gTV48WKiRH6ufOyc+614wjepAhHF3kRwjBgQMHePXVV2nVqhXXrl1j8+bNDNLFeBTPNEroFS8dugLZPj4wYwb88Yf5/eEfPUovcp0b9eqZLvQhAXdZwSB6r+guA/VHj8p4fJkyee6fq6sUeCEgKEjecCpUMHzsgQMHaNOmDW3btiU4OJi5c+dy9epVunfvnufrKp4OSugVLx3BwfK1bt30xUxnz5r3GuHhUkSNCb0u88boE8X27Ti/6UI/1nJ73DR5Z2rWLN/9c3GRcfmYGCn4WWPxQgiCg4Px9vambdu2XL16lQULFhAWFsaECRMoXrx4vq+t+O9RpmaKl47gYBmScHSUaYTFiqWHL8yFsYwbHc7O6SEZg3OosbEwYQKsXs39Ci70sPydv+d4Qt4t4TOhC9OcOSOt5wcNimXTpoPs27cPf39/rly5woMHD7C2tubrr79m4sSJFDXnslXFf4oSesVLx8WLUoALF5af69eX4QtzkhehBxm+yST0QsCGDTwcNg6rB3dJmfw5485/Qnxo4fzU/UAIwdatW9m6dSvHjx8nIiISqM6wYVV5+PAKP/0UwU8/gY2NDS1atKBt27bUqlULHx8fqlQxj8mY4umhhF7x0qFLUdTh4gK7d5v3GqGhsqxqpnx3A2QUen0a+r17Mgd+40bO48lQ/qTyCTeuXs0+YWoKkZGRjB07lh07dlCxYkUaN25Mhw4d+OmnaGJiooCmjB8/jj59mtG4cWOs8nMnUTzTKKFXvFSkpsoFpBm9211dYflyGSUpX94819Fl3BhLhKlYUc6l6la8cuoU+PiQFh7JFGYS2mMS41+3ZORIufvNN/PWD39/fzp16kRaWhpz585l/Pjx+jqr58/LOt8ajbSlz2qlrHhxUEKveKkIC4OUlOwjepDhG3OVm7tyJeci1xnRaORxoUFJMP076TRZvjy9yx7gTr0W/PmbDDGFhcE335jWpo6TJ0/y2muvUalSJfbu3Yt9FsN6V1cp9A4OSuRfdFTWjeKZIyWl4NrOmHGjI6PQmwOtVlr8GovP6/AufYAfj7rBtGnQowdJ/qfYFtuCDh3S5xG++kraE/v4mNbmxYsX6dixI6VKlWL//v3ZRB7Sv7dyJXnxUUKveKaYO1eGT+7dK5j2DQl9lSoyfGKOzBshZCbLo0cmCP2jR/DRR3yw81WEVsv9jXtg/XrCH8iEdgeH9EMLFZJeZUWKGO9DTEwMXbp0wdLSkv3791OjRg2Dx+ni/fmJ+yueL5TQK54ZTpyAjz+WPu7nzxfMNYKDpblWRn9yjUaKXX5H9ElJsjZp795Qtmx6UZH69XM56eJFaeM4axYRnUbizhku2nYEZJgGMgu9qTx8+JAePXoQExPD9u3bcTRkhv8Yd3fZZ1OfEhTPL0roFc8EDx7IVfy6WLFu5G1uLl40bPHr4iKFPj9WCK+8IsXyyBF44w3pinnsGLRoYeBgIeQBDRtKH4Zt20ia+yOJWOuLgeRX6JOTk+nfvz8BAQGsXr0aLy+vXI8vUgQ2bpSCr3ixUZOximeCKVOks+6ePdJNUmdTYE6EkDcQQ0aLLi7ySeLaNcgh0mGQuDhpHPn++7Lqk2Vu/0fFxMDQobBzJ3TuDL6+ULkyDskyNHP5sjwsLExWWzKWmpmRpKQkfHx82LFjB/PmzdO7xioUoEb0imcAIWDtWpk62KGDLIxREEJ//bqM/RvKXNHFqfMavtH1s3VrIyL/xx/yIn/9Jb3jd+6UMSTkhKudHZlG9LoyeKZw7do1Xn/9dXbs2MHixYsZP3583r6E4oVHCb3iqXPhAvz7L3SUIWrq1CmY0E1OLo2QHk/Pq9AbmtzNxIMH0i++e3e59DUwUJY8yqLiTk6ZR/SmhG3i4uL4v//7P2rXrs3ff//NihUr9PUhFIqMKKFXPHX8/OTrq6/K17p10/PdzUluQl+mjKyulNfMm+BgOZI3KMwnToCnJ/z0E0yaJGM8OczQOjnJEb0QxoU+JSWFBQsW4OjoyMyZM+nduzeXL19WlsGKHFFCr3jq/PWXDF3oqizVqSNXsOr8YsxFUJAcVJcta3h/fjJvgoOlOVom14DUVLnUtGlTSEiQq5Jmzco1N7J2bemTHxQkHwJyEno/Pz/c3NwYP348rq6uBAYGsmrVKmrWrJm3jiteKpTQK54qWi0cPJg+mgcp9GD+OP25c7nnjLu4yKyc1FTT27x0KUPYRgjYtQvc3OD//k96IJ89m/nL5YCTk3zVee5kFPrU1FT8/Pzo378/r776KsnJyfz+++/s378fT09P0zureGkxSejt7OxwdXXFw8PDYMrWgQMHKFWqFB4eHnh4eDB9+nT9vt27d1OnTh0cHR355ptvzNdzxQvB2bNw5w60bZu+rSCEPjVVzgUYE/pHj6QhmalthoQ8FvobN8DbW9ZtTU2FLVtg/fqcHx+yULu2fN2zR75WqZLItm3bGDx4MJUqVeLVV19ly5YtfPbZZwQFBdGtWzc0ps7WKl56TE6v9PPzo3wujk+tWrVi+/btmbalpaXxzjvvsG/fPmxtbWnUqBHdu3fHOS+GHYoXmr/+kq8Zhb50aVnxyJwTsqGhUsRzE/qMmTc5Tq5m4OpVSEtJ4/V/V4Lz+3Ll1KxZ8O676d4FuSCEICQkhJ07d3L5ciiFClXjwIFSwJ+0arWHxMRESpcuTdeuXenZsyedOnXCWpnSKPJBgebRBwQE4OjoiMPj59C+ffuybds2JfQKPX5+cjRbrVrm7XXrmndEn9tErI569WQyTFCQCatFheD+kvUE8QX1lgVD8+YyL143NDfC6dOnGTZsGCdPngSgZMmSaLX3AShUqBpDhgzB29ubNm3aKNtgxRNjUuhGo9HQsWNHPD09WbJkicFj/P39cXd357XXXuP84/Xr0dHRVK9eXX+Mra0t0dHRBs9fsmQJXl5eeHl5cevWrbx+D0UBkZYGd+8WTNupqXDokOEQtrlTLM+dk1Wl6tXL+ZhixeTEam6ZN48ewb2bSTBgAJ6z+5GKJQm+G+DwYZNEPi0tjRkzZtCoUSOuX7/OvHnzCAsLIy4ujtdeSwDCadYskgULFtC+fXsl8gqzYNKI/siRI1StWpV///2XDh06ULduXVq3bq3f37BhQyIiIihRogQ7d+7E29ubkJAQhIH15DnFFUeOHMnIx6bbxpZuK/47pk+HBQvg5k3yVdkoN/z85GpUXf58RurUkbF7c3nEnzsnJzyNVcMzlnnzydAY+m/wxivlGJu8vmZc5MfcGGxaToNWq2XEiBH4+vrSr18/5s+fT7ly5fT769WzZtcua5NdLxUKUzHpL7Tq4xpnFStWpGfPngQEBGTaX7JkSUqUKAFAly5dSElJITY2FltbW65du6Y/LioqSt+W4tnn0SNYvFgKbkSE+dtftQpKlYLXXsu+TxcjN1f4xljGjQ4XFxnPf/gw+74HKzcxeY0rzilnWN1rE3OLfEKdeqaL/OjRo/H19WXapiaikwAAIABJREFUtGmsWbMmk8hDeuZNfszMFIrcMPpX+uDBA+Lj4/Xv9+7di0sWA+ubN2/qR+8BAQFotVrKlStHo0aNCAkJ4erVqyQnJ7Nu3Tq6d+9eAF9DURBs2QK6KJpueX5+2LVLhmge/xkBkJgImzdLEzBDo2xd5o05wjcPHshFSKYKvVaboeKTrhNvvIH12z5cozpDnAMYtqMXZ86YNmkL8PHHH/Pzzz8zZcoUpk2bZvAYXeTHgHW8QvFkCCNcuXJFuLm5CTc3N+Hs7Cy+/PJLIYQQixcvFosXLxZCCDF//nzh7Ows3NzcRJMmTcSRI0f05+/YsUM4OTkJBwcH/bnG8PT0NOk4RcHSpo0QFSsKAUL873/5ayM8XJ4PQmg0QgwaJERamhBr18ptfn6Gz0tNFaJ4cSEmTMjb9dLShGjRQohff03fFhAgr7Vli/HzL16Ux65YIYQIChKib1/Z8eLFxY+204W7c7KIiBCiaFF53Jw5xtv09fUVgHjnnXeEVqvN8bhHj4T49FMh7t0z3qZCkZXcdNOo0D8NlNA/fS5ckEI2c6YQNjZCjBuXv3b8/GQ7M2YIMWaMfD91qhCvvy6Era0U5pxo3FiItm3zdr2YGHmNUqWEuHFDbuvfXwhLSyGuXTN+fsqjNNHG8m9xpraPbKhECSEmTxYXD/2bSdg/+UTu3rkz9/aOHDkiChcuLNq3by9SUlLy9mUUijyQm24qm2KFQZYskZOvQ4fChg35D93opmj69JEZLY8eyQneQoWk/UuhXIKHbm4yvCOE6U6ON2/K17g42X7XrrBmDcyYAba2OZwkhPSh+e03LDds4EBqFA/CSsKnn8KECVCuHL9Mkp42AwfKUz79FKpXh/btc+7L0aNH6datGzVq1GD9+vVY5mpvqVAUIP/hDcdk1Ij+6ZKYKETp0kL06SM/9+kjhIND/tr66is58k1MlJ+TkoRo3lxuO3Mm93Pnz5fHmTIS17F7tzynXTv5am0tRNOmQmQbTCclyeH4O+8IUaOGPLhwYSG6dxeLWqwSdavG6Q/VaoWoXFmInj1N78fGjRtF0aJFhZOTkwgNDTX9RIUin+Smm8rrRpGN336Tvu06x1snJwgPh+TkvLcVGSnTI4sVk5+LFIEdO+SKWDe33M/VVT46e9b06+lG9P/7X/qk5qpVGbziU1Nh6VL5eNGli1zk5O4OK1ZIr+Rt27jfbQDB10vq69Zevy7bNcGyhkuXLtG/f3/eeOMNGjRowNGjR6ml8iUVTxn1LKnIxo8/yqyXNm3kZycnmYly9Wp6NoypXLsmQxwZKV06s+VBTuiyZM6ckZoMyI5ERsq0mOBg+S8tTa6EcnSk6KFivIIV9kmVObDbnrikItQqfx8CLqX7z1y9Ck2awKJFstJJlrQfXVLZ+fOyHKApq2qvXLnC9OnTWbVqFcWKFWPy5Ml89tlnFNPd4RSKp4gSekUmTp+W9U7nzk2Pi+vyu0NC8if0+U0XLF0aald/SLnNq+CcnxT3S5cyJ7mXLy87unQpAH0e/8MLamg0cqJB9yhiYSHvMHPmQI8eOQb+dUJ/7pxxoY+IiGDGjBksX74cKysrJk6cyEcffUTFvNQBVCgKGCX0ikz89JMc4GasYZFR6PPKtWuyzF6e+fdfWLiQgJhFlLoWCzHVZdGOtm3l6L1uXfmqWzZ7+zaEhTH1kxSuXkrm15lR0tA+MVEWX61WTY7esyxSMkSNGmBjk75C9ty5dB/71NRULl++TFBQEPv378fX1xeNRsPYsWP55JNPqFKlSj6+rEJRsCihV+hJSJDx7DffzOyuW66cHF3nVejj42WsPy/FtrlwQT5O/PorPHrEDadueId+wM7g1hQrnkvqTblyUK4ch1JBOAAD89ZXgMjISE6fPk1ISAhlyqRy6JA7V6444e8fRenSwfTp8xf79u3j7mPzHysrK4YNG8aUKVOwzTGlR6F4+iihV+g5eVKK/ZtvZt6u0aSXussLutTKrDF6gxw+DN98I4tmFy0KgwfDxIkEnavDgTfg/AUwxQLpxg3w8MhbPy9fvsz06dNZu3YtWq020z5Hx/T3d+5UpkePHrRt2xZXV1fq1q2rYvCK5wIl9Ao9Oj8bQ0kiTk5w5Eje2jNJ6IOC4JNPYPt2GWL54gsYMwYqVADA/XFe2Nmzpgn9zZtQubLpfZw3bx4TJ06kSJEivP/++/j4+ODk5MTPPxdi8uQzTJp0hdmzbZk924mJE2tSKLfEf4XiGUUJvUKPTugNhVqcnGDtWllbw5gDpI4chV4IWUpp3jxphFOqlBzNjx8PxYtnOtTBQW46c8b49RITpRumKWFyrVbLxx9/zOzZs+nRowc//fQTlSpV0u9v3BigDffuydSjV1/NfXGXQvEso4ReoSciQg6ks2gtIIVeCGkOZmrdmGvXZNgnk2FpUpKc6d2wQQ69P/8cxo3LcZLUwkJmu5iSS6/LoTc2otdqtQwdOpQVK1YwduxY5s2bh4WFRaZjdJk3mzYZ97FXKJ511BhFoSciAmrWNLxPl3mTF9vga9fk6FrvY3/njsx82bABvv5aXnDaNKOZMHXqmFbH1RSh12q1jBo1ihUrVjBt2jQWLFiQTeRB3vAqVZJFV0zxsVconmWU0Cv05Cb0Li5SsLOUIsiVyMgMYaDYWLkCKyAA1q2TcXkT6qqCDN9ER8uHgdzQCX1OoZvU1FTGjRvHL7/8wv/93/8xbdq0XAts60b1ptgbKxTPMkroFYAMy0RG5iz0xYuDp6dMjjEV/apY3Ug+NFRm1fTpk6e+OTjI/hkqfhITIy0KQGbcgOER/ZUrV2jVqhWLFy9m0qRJfPnll7mKPCihV7w4KKFXALLASFJSzkIP0LIlHD9ufGQNUpivXYN6ZWOgUyeZH791K7Rrl+e+6SouhYVlbt/XV6Y/6ipU3bwpJ0wzlh4MDQ3lo48+wsPDg+DgYNatW8esWbOMijykC7wSesXzjhJ6BZA+WjYm9MnJEBhovL07d8Dt4TE+XNdQmsZs2iQFPx9kFXohpF3w0KEydn72rBzN37wp4+r37t1myZIltG3bFicnJ+bMmUOnTp04c+YMffLwNNG1K7z1lmm+PArFs4zKunlOWLEiPfOkYUMYMMC87Zsi9C1ayNe//5aib5DUVDh0CLFoPYfwJaWILRz0T7eiNBGtVsvu3bsJDAzkwoULWFgUZceOjrz+enNCQ5NZsyaOXr3iaNLkPh9/XIQ1a2oTEqIlOXku1aot59GjR9SpU4cZM2YwdOjQfNUqrlQJVq7M82kKxbPHf2iXbDLKjz4zDx/KCkmFC8t/VlZCJCSY9xqzZ0tL9jt3cj+uXj1ZHSobaWlCrFolhL29ECBSiloLX94WgXtv56kfWq1WbNmyRbi4uAhAaDQaYW9vLywsygnA6L9ChYqIUaNGiVOnTuVatk+heNFQFaaec4KC5EB5wwZpttW5syy2rYtNm4OICNl26dK5H9eypeyHVpthAdGxY4gxY9CcPk2ojQdzy6/nd21XopKKc90l1+YykZqayogRI1i+fDm1a9dmzZo19OjRg+LFi9OtWxrBwSeZNOkkO3da8//t3X1czXf/B/DXKaQUIm1zs26lpFaKxZLGUkxtdbVLGIakzX7kGsayYqPNNRfGiGgyUi43q5YszHLTXEjlNjejm6Hpju4onc7n98fHOZ1Tpzonpxv1fj4eHqe+d+f7Ie/z6fN5f9+f+PgeSEzsgT59emD+/HJcu3YLQuFjjB/vg61blXg0lpAOQKFAb2hoCB0dHairq6NTp05IqTVIGxkZiTVr1gAAtLW1ERoaijee/6re2Lmkcenp/NXWlqcOamgAx441PdAXFtZNXRenVjY2R+noCGzfzofdrQxKgMBAsM2bkd+lHxZgL05qTcI749QwVg0wNFS8HEFlZSWmTp2KgwcP4ssvv0RQUJDM0nsmJupIShoGP79hiInhGTHiZfw++AA4dWokgJrxfEJIDYV79L///jv0pNMZpBgZGeHkyZPQ1dXFkSNH4Ofnh3Pnzil0LmlcWhrvbRsZ8V60oyMP9E2RmgoMG8YrD4wbV7O9oRx6aeKx+Xtb4mD1yyfAgwd44PV/MD+4CgHLdbAzUPmHi8rLy+Hl5YWjR49i/fr1CAgIqHOMsTEvuFZQwP8+3Nxq9kkn8ihT54aQjkIlWTcjR46Erq4uAMDBwQH37t1TxWXJc2lpvCKjeKjExYUP54jzxpVx4AAfdtmzR3a7ooHeqGsu4rt6Y/zW93gt47NnETvme5RBB35+ygf54uJiuLq64vjx4wgPD5cb5IGannpyMs+dt7Wt2WduXvOQFAV6QupSKNALBAKMGzcOdnZ2CAsLa/DY8PBwjJcaU1D03LCwMNjb28Pe3h75+fkK3n77V13Ns22kA5uLC389flz568XF8dfYWKCykn9dUsLrxjcY6IVCYNs2CAZbwOVZPNb1Xg1cvAi8+SauXOF1yZQtyZ6VlQVnZ2ecP38e0dHRmDVrVr3HigP9gQP8VfrvQyCoWc+V1v0gRA5FZnPv37/PGGPs4cOHzNramp08eVLucSdOnGDm5uasoKBA6XMVnT3uaG7c4NkwP/5Ys626mjE9PcamTVPuWnfu8GuNG8df4+P59suX+ffR0XJOEgoZ272bMTMzftDbb7MtC28xgLHHj/khb73FmKOjcvdy6NAh1rNnT9a9e3d25MiRRo9/8oS/fffu/LW4WHb/3r2Mqaszdu+ecvdBSHvRUNxUqEcvzkHW19eHp6cnzsspeHL58mX4+voiNjYWvaVm+hQ5l9RPeiJWTE2NT0QeO8YfHlLUL7/w1w0beHbN/v38+3pz6P/+mw+AT5vGx2QOHgR++w3GrrzCWWoqf/+rVxV/ejQ/Px8zZ86El5cXTE1NkZaWBjfpAfd6aGryKpglJbxefvfusvt9fPjKgf36KXYfhHQkjQb68vJylJaWSr4+evQohgyRzZnLycmBl5cXdu/eDTMzM6XOJQ1LS+PFxGqXBnZx4XH42jXFrxUXx69jYcHXxo6N5U+6yg30SUn80+X8eeDHH/mNeHkBAgHs7PghKSm8zEFxceOBnjGGXbt2wdzcHHv27MGyZcuQnJwMYyXSZMSHSn/oiQkEis0xENIRNZp18/DhQ3h6egLgec5TpkyBm5sbtm7dCgDw9/fHV199hcLCQnzyySf8os/TKOs7lyguPZ2viV270OOIETX7FfnsfPyY594vWsS/9/bmT9t+9BFw+HBNWV5kZwNLl/IKk2Zm/NeGWm+gp8dTJ1NSaj6AGgr0JSUl8Pf3R1RUFBwdHbF161ZYWloq0nwZxsb8qVx5gZ4Q0oCWG0FSHI3RcyIRY/r6jM2cWXffs2f8CdmlSxW7VlQUH9v+4w/+fUUFYz168G2enoxdu8YYi4hgrGtXxjQ1GQsKavDxW29vxoyNGfvmG36NR4/kH3fp0iVmYmLC1NXV2apVq5hQKFTshuVYsYK/V0JCky9BSLtFT8a2YeIqj/KW78vNBfLy5PdgO3fmHW5Fh24iI3nqIV8ijz90dfQov47t4Epg8WJg0yZewWvXrkZX9Laz4xkwp07xQ+U9URsdHY3Zs2ejZ8+eSEpKgmO9BXIU4+jIs2refPOFLkNIh0OBvpX9/jufWE1N5bny0mJj+at4TLy2wYP5eY3JyuLDM4GBfFk8AEBeHob/vpOv3Xr2LK89/K9/AWvWAJ0a/7EQL9SdmCj78NLNmzcRFxeH2NhYJCcnw9HREfv378erKkhwHzu2pvY8IURxFOhb2ZUrvFd//LhsoM/LA774AnB2rhmPr83SkveqnzyRv86rWFgYn6ycO+0JEHMU2LePZ9BUVfFfF/z9eU1eJWrFiz98RCIhevb8A4sWxSEuLg63b98GANjY2CAkJASfffYZuii4khQhpHlQoG9l4oyX06drJkoB/nV5ORAaWn/9mcGD+YfEzZv1T1BWVgK7t1dgv0kw+ttsAp4+BXR1gU8+4QHe3Fyh+2SM4bfffsPhw4dx7NgxFBYWolMnLQiFj7B37yN07twZY8aMQUBAACZOnIjX5Y1FEUJaBQX6VpaVxV9Pn66pCPn778Du3cDy5Q3HYXHiyrVr9Qf6379Lwa8FM2BZcJ2v1jFjBl+7VbJid+MuXLiAhQsXIjk5GRoaGnBycsLIkSNx9OhTZGdrYO1aN8yZMw7daye3E0LahpabE1bcy5B1U1jI2K1b/M+L1Ia3tWVMTY1nk1y+zLc5OTH2+uv8adCGPHvG69TLzbyprGSiL4NYFdRZrno/Vp3wa5Pub/Xq1QwA09fXZ2FhYay8vFyyLyKCsQEDGKusbNKlCSEq9MJPxhJZT5/yPHIzM/6nCcugSmRn11SRPH2aD8OcOgV8/DF/GrQh4syb69dr7bhyBXBwgODrrxCJqTi+4SrUxiu/jN+GDRsQGBiIyZMn4/bt25gzZw60pCYDZszgC4rTEDwhbRsN3TTBjRtAaSlPUikqAiIigPv3lX/8vqSEn+/szGPzqVNAZiZPevnoI8WuYWkplXkjFAJr1wLBwajS7gkf9Rgwj/dwcJ5y9wXw4nQLFy6El5cXfvrpJ5na8ISQlwv9722CjAz+OnMmnwyNiAB+/RWYPVu564gnYg0NAScnPjZfXQ24uytebnfwYJ558/RRBTQ//AeQkIBqT284XQlFTlc9XN7e+GIite3YsQN+fn5wdXXF3r17KcgT8pKjoZsmyMjgk6YDB/LqAP37AwkJyl9HOtCPGsVr1+TnA3PmKH4NS0ugK3uCqvHufDWR0FAkzv4v/venHn74oe5KUo0JDQ3FnDlz4OrqipiYGGhoaCh3AUJIm0OBvgkyMngFRQ0N3lueMIGXhHn2TLnriDNuxD16gD9lKr3yU2OsXsnDr3CDzvnfgJ07AX9/XM/gXfjRoxW/DmMMISEh+OSTT+Du7o6YmBh0VXYVEUJIm0SBvgkyMngFSLEJE/iYfXKyctfJyuLVf/X1+fWGDuX585KnVxvzxx8YNNkWw3ABUR5RfHYUfHL21Vf5AlCKEAqF+PjjjxEYGIipU6fiwIED1JMnpB2hQK8koRC4fVs20I8dyzNPlB2+kV6QW02NL9g0f74CJz55wusZjB4NgaYmZgw8i92VkyS7r1+vW9ZYntzcXISEhMDMzAzbtm3DsmXLsHv3bnqSlZB2hgK9ku7c4ZUDpAO9tjYfJlE20Gdl8WEbpcTH84H5kBBg8mQgJQU6o2yQksInhhlrONAzxpCYmAgvLy8MGDAAgYGBMDQ0xM8//4yQkBAIlJ25JYS0eRTolSTOuJEO9AAwfjwPsMqsi56VpcRiGTk5gKcnT8nR1OQLg/z0E9CzJ+ztgYIC/hvCvXt8GEleoL9z5w5cXV3h5uaGM2fO4LPPPsOtW7dw4sQJvP/++4rfOCHkpUJ5c0oSP5xUO9C/8QZ/vX1bsUWyy8t5cG60R19Vxdf+W7GCd9e/+YYn8EsNr4grSaakADo6/GvpQH///n1s3LgRGzduROfOnbFp0yb4+fnREA0hHQQFeiVlZPBALg6oYuKeuThlsjHSqZX1SknhyfpXr/Ke/MaNck+wtuZPyaakPF8lCoChYTkOHUrE/v37ceDAAYhEIkyaNAlr166VrONLCOkYKNArqXbGjdiAAXxSVZwy2RjxcXKHboRC4NtvgZUreeSOieGLvMocIkRCQgJSU1Nx9epV6Oh0xf79g6CrC3TufBLm5smoqKhA7969MW/ePCxYsABGRkbKNJUQ0k4oFOgNDQ2ho6MDdXV1yXqw0hhjWLBgARISEqClpYWIiAgMHToUALBr1y6sWrUKALB8+XLMeJ4C+DISiXj5A3lPwHbpAvTtq4IePWPAlCnA/v2Ajw+wZQsvKyzl/PnzmDt3LtLT06GmpgZTU1M8e1aBu3cjAQjQrZs1fH3nwsPDA05OTvRkKyEdnSJV0QwMDFh+fn69+w8fPszc3NyYSCRiZ8+eZcOHD2eMMVZYWMiMjIxYYWEhKyoqYkZGRqyoqOiFqrC1puxsntcSGip//1tvMebsrNi1lixhrEsXxqqra+0QL8L6zTd1zhGJRCwoKIgJBALWt29fFh0dLakmuX07Y8ATpqb2mH38sRKNIoS0C81evTI2NhbTp0+HQCCAg4MDHj9+jNzcXCQmJsLFxQW9evWCrq4uXFxc8Ouvv6riLVtFfRk3YgYGivXohUK+BN/AgTx/XuLXX/myUj4+wOefy5wjEokwb948fPXVV5g2bRoyMjIwadIkSTVJPiGrCZGoh6ROPSGEAAqmVwoEAowbNw52dnYICwurs//+/fsYILWYdP/+/XH//v16t6taWRlf03rIEP7nP/9R+VsA4Bk1AC8NLI+BAV/ou7q64ets2QJcugQEBUltjIoCPvgAsLICduyQqUQmFAoxY8YMhIaGYvHixYiIiKizyIelJS/JACj2sBQhpONQKNAnJycjNTUVR44cwebNm3Hq1CmZ/YyxOucIBIJ6t8sTFhYGe3t72NvbIz8/X5Hbkjh9mqeVv/oqrxW/cSMf6la17GweTMWZLbUZGvLeekMLWD94wFeOGjeOx3VUVPAqZlOm8PSZhASgWzfJ8dXV1fjoo4+wZ88erFq1CmvWrJH7d9i5c82asxToCSHSFAr04nQ8fX19eHp64vz58zL7+/fvj7/++kvy/b1799C3b996t8vj5+eHlJQUpKSkoE+fPko1IjmZ14eJjQU++4w/W6Ro9osysrOB11+vNdwiRZxB09B7/+tfvPjZ5s2AoKQYcHPjPfhly/inlVRR++rqasyaNQuRkZFYvXo1AgMDG3xydcwYwMiI184hhBCJxgb4y8rKWElJieTrESNGsCNHjsgcEx8fLzMZO2zYMMYYn4w1NDRkRUVFrKioiBkaGrLCwsIXmlSQx9mZMfEp167xuczwcKUuoZDhwxkbO7b+/Tdu8PfevVv+/sREvn/lSsZYbi5jNjZ8LcC9e+scm52dzZycnBgAtnLlSoXu79kzxoqLFTqUENLONBQ3G827e/jwITw9PQHwseIpU6bAzc0NW7duBQD4+/tjwoQJSEhIgKmpKbS0tLBz504AQK9evfDll19i2LBhAICgoCD0UrSkooKqqoBz52pquFtYAH368M7xrFkqfStkZwPvvlv//tdf56/yevQVFcC8eXwCdplVPGDjy2sV/PIL79U/xxjDvn378PHHH0MoFCIiIkLhlNTOnZVa85sQ0lG03OeN4pTp0Z8/z3vJ+/bVbPvgA75otUik/Hs/esRYVFTdc58+leqNN+CVVxjz9a27PTiYsc6oZH+9O5dfyMqKsfR0mWNyc3OZp6cnA8CGDx/Obt++rXwDCCEdUrteHFxcA/6tt2q2OTvz7JfMTOWvFx7Oi0IePiy7XTzV0FgRMgODuj36zExgY0gZLrzqgf6HtwFLlgAXLkgK5JSVlWH16tUwNzdHQkIC1qxZg+TkZJiamirfAEIIqaVdBHoDA9mFuZ2d+WtSkvLXS0vjr6tWyWbuiPPjGwv0hoZ1c+nPx+biSNVYWOcd458ka9ZIciFPnDgBU1NTLF++HKNHj8alS5ewZMkSepqVEKIyL3WgZ4wHeunePMDH6fX1mx7otbT4uP/x4zXbFQ304oemRKLnNxgZCY8vLGGNy6iKPiQzcRAdHQ03Nzf07t0bf/zxB2JjYzFo0CDlb5oQQhrwUncbs7KA3Ny6gV4g4L36pCQeaxVdS+PpU17LZtEiYO9e4OuvARcXvi87m6dV1leC+Ny5c9i1axf+/FMHas964OqXarA+GQ8kJyP3lRGY3GUnzn0wCIwxpKSkICIiAlu2bIGTkxNiY2PRs2fPJv4tEEJIw17qQC8enx85su4+R0fgv//lHwSKVuW9epX3xN98kwf0+fOBU6f4wt3Z2fw6tbNaioqKsGzZMmzfvh2aXbtCWFGJZxBhRAjwdZ8+8P/uO/gluOLB7TTMnbsOx44dQ2ZmJrp06YLZs2fjhx9+oEW4CSHN6qUeurlwgQ+zWFnV3Sd+OvTGDcWvl57OX21sAF9f/oBqdDTfJn5YStr9+/fh4OCA8PBwLDQzw99Pn+JJ585YjUmwGuSIz/Lz0W3xYvz2uzXu3ZuM6OhoWFlZITw8HA8fPsSOHTsoyBNCml2b79ELhcDjx4CeXt19qak8KKur191nZiYCUIWMDA2MGaPYe6WlAd2786dLBQJeP+foUb4vOxsYMaLm2L/++gtvjx6NvPv3kaSmBsecHGD5cpTNXoBAIz2EzGBYNjgOqamp2LTJDI6OFjh0yJomWQkhLa7N9+jXr+fDKLUnVkUi3gO3tZXdfvDgQXh4eMDGpg+AHti9exUqKysVeq/0dP7BIR7Td3Xli4HfusXXYhVPxObm5MB56FDkZ2Xh6LNncJwyhR/09dfQNtRDnz5AZqYA7733HoKCVqKkZCreeGMoBXlCSKto84E+ORmorAQ8PHgPXuzPP3nVyufrmwAAduzYAW9vb1y9ehXvv/8+dHXfxblzX8LGxgY3GhnDqa4GLl+uKQwG8MJjALBrF//NwuB1huJ9+zDezAwPCwpw1NYWDhcvAhERMrO0Jib8AwIA8vL4tWn1PkJIa2nzgT49nWfQ9OrFKwWI0xzF+e7iHv3OnTvh5+eHCRMmICMjA+Hh4XB3P4jevRNQVFQEDw8PFBcX1/s+d+7wBbulA/3AgYCZQSVObr+FhViHf3wzGF4+PrhWWYmDwcF4MyVF9pPmORMT/kEEAOKqzBToCSGtpU0H+kePeGB3c+MLdRQVAeJy+KmpPAPG0hI4fvw4Zs+eDRcXFxw8eBAazx9GMjcHCgvH46efDiAzMxPTp0+HSCSS+15paYAOSuBUepgv/jFxIgSGBsjI1sSZ/EHwwWcYnZeNEwB+/PFHuK5YUW/epokJf5K2srKmZLH0A12EENKS2vSgsXQWzKDsoZhIAAAOoUlEQVRBvGe/fz9/ajUtjWfbPHr0EB9++CHMzc1x6NAhmSwW8UpQvXqNwrp16zB//nz4+vpi8aJFsOjXj0fh7GzgzBmM2PkbinABggXVOKqujviePXG8qgqVOr1RXNodhchC3969kLBjO8aPH9/gfZua8vz9rKyaQE89ekJIa3lpAj3AF+rw9+dj6ampwHvviTB9+nQUFxfj2LFj6Ca1YAfAe/QAT7H89NNPcffuXfzwww/YuXMnRgBYAOAfADqpq6NcexgW95yE33TP4kpmJrqWl+Ptt9+GhoY2YmKK0LXrRFy//hV69OjR6H2bmPDXO3f40I2aWv2LlRBCSHNr00M3aWnAa6/VBElPTx40168HCgtFuHMnAEePHsWGDRtgJSeZ3sQE6NSJr/UqEAiwfv163Lt3D/9ZuBAFenrwAWDUpw/srawwpDQPGx7vRRmAyMhIFBYWIiEhAT///F+MGnUcNjbfKxTkxe8L8HH6Bw/4ylfyUkAJIaQltOlAL053BHid9oyMkxg6NBU//VQE4J84eXITAgIC4OfnJ/f8zp35MIp0ws0rr7yCf61bhxsPHyIuLg52I0dCS6cvRKLhmDx5Ha5fv44pU6ZIFt0G+HKuUVGK37e+Pn/YStyjp2EbQkhrarNDNxUVvCfu7g5UVFTA19cXkZGRUkcIsGbNeixZEtDgdczN+XVqU1NTg7u7O9zd3REaytedXbUKkPegqrITqQJBTYrlgweAsbFy5xNCiCq12UB/7RrPXTcxKcQ777yH5ORkBAcHo3//IZgz5zoGDBiBJUtcGr2OhQUQH89Xoqpv9aXkZD68YmSkuvs3NQWuX+d59I6OqrsuIYQoq80GevFEbGLiUly4cAH79u3DP//5TwDA//7H674rwtycf2DcuVMzOVvbmTO8AqaiVS4VYWLCVwmsqqLUSkJI62rTgb5bt3zExu7GzJkzJUEeAHbsUPw60pk38gL9vXs8wzKg4REgpZmY8CAP0Bg9IaR1KTwZW11dDVtbW0ycOLHOvoULF8LGxgY2NjYwMzOTqa2urq4u2efh4aHwjaWmAr17h6GyshLz589X+LzapAO92MWLPFWzqEj+UoSqIM68AahHTwhpXQr36L///ntYWFigpKSkzr7169dLvt60aRPSxPUJAGhqaiJdPA6joMpK4OLFZ9DW3oxx48ZhsLjmcBN078571NITsgcPAgcO8KqYAwfyUsfSpQ9UQTrQU4+eENKaFOrR37t3D4cPH4avr2+jx0ZFRWHy5MkvdFMFBYBAcABlZbkIUMGYioWFbI/+2jVAU5MvFbhtG19opL6J2qYaMKDmmhToCSGtSaFAHxAQgH//+99QU2v48OzsbGRmZmKMVAH4iooK2Nvbw8HBATExMfWeGxYWBnt7e9jb2yMvTwht7RAMGjQIrq6uCjalfuIUS/Fi39euARMnAgsX8nLHqh62AfiDWoaGPF1TV1f11yeEEEU1OnQTHx8PfX192NnZIamR1bajo6Ph7e0NdanHQHNyctC3b1/cvXsXY8aMgZWVFUykxzWe8/Pzkzz4JBDoobS0EOvWHW70w0URFhZAaSlfVrBnT+DuXWDaNCAwkNeY/+CDF34LuUxN+QeJKrN5CCFEWY0G+uTkZMTFxSEhIQEVFRUoKSnBhx9+iD179tQ5Njo6Gps3b5bZ1vf5uIWxsTGcnZ2RlpYmN9DLKkRQ0ApMmDBB8ZY0QDwhm5HBe9eM8aqXnToBCxao5C3k+vZbPuFLCCGtScCYeECjcUlJSVi7di3i4+Pr7Lt58yZcXV2RmZkJwfMu7KNHj6ClpQUNDQ0UFBRgxIgRiI2NbXRyVVOzJ8rLi1TSmwd4GYL+/YEffuCTs9On84eZxNUtCSHkZWdvb4+UlBS5+5qcRx8UFAR7e3tJymRUVBR8fHwkQR4AMjIyMHfuXKipqUEkEmHp0qUKZdCYmBipLMgDfDJUR4f36LW1a2rgEEJIR6BUj76lNPTJ1FTDh/PevKYmrxN/5YpKL08IIa2qobjZpqtXqpI4xfLaNT4+TwghHUWHCfTm5nysPjOTAj0hpGPpUIFejAI9IaQj6TCBXjrDhgI9IaQjabPVK1VNvKygmppsHRpCCGnvOkygF6dUdunCAz4hhHQUHSrkffUVBXlCSMfTocJec9W0IYSQtqzDTMYSQkhHRYGeEELaOQr0hBDSzlGgJ4SQdo4CPSGEtHMU6AkhpJ2jQE8IIe0cBXpCCGnn2uTCI9ra2jCXLjfZzIqLi9GjR48We7/8/Hz06dOnxd6P2qda1D7Vaun2Ae2zjVlZWSgoKJC/k7VBdnZ2Lfp+c+bMadH3o/apFrVPtdp7+xjrGG2URkM3ANzd3Vv7FpoVte/lRu17+bV2GynQo/X/EZobte/lRu17+bV2G9VXrFixolXvoB52dnatfQvNitr3cqP2vfw6QhvF2uRkLCGEENWhoRtCCGnnKNATQkg71yKBftasWdDX18eQIUMk2y5duoQRI0bAysoK7u7uKCkpkTknJycH2traWLt2rWTb999/jyFDhsDS0hIbNmxoiVtXiDLty8rKgqamJmxsbGBjYwN/f3/JOYGBgRgwYAC0tbVbvA0NUVX73Nzc8MYbb8DS0hL+/v6orq5u8bbUR1VtdHZ2xqBBgyT78vLyWrwt8qiifaWlpZJtNjY20NPTQ0BAQKu0pzZV/fvt27cP1tbWsLS0xJIlS1q8Hc2mJXI4T548yS5evMgsLS0l2+zt7VlSUhJjjLHw8HC2fPlymXO8vLyYt7c3++677xhjjF25coVZWlqy8vJyVlVVxcaOHctu3brVErffKGXal5mZKXOctLNnz7IHDx6wbt26Nf9NK0FV7SsuLmaMMSYSiZiXlxeLiopq5jtXnKraOHr0aHbhwoXmv2Elqap90oYOHcpOnjzZPDesJFW0r6CggA0YMIDl5eUxxhibPn06O378eAvcffNrkR69k5MTevXqJbPt5s2bcHJyAgC4uLjg4MGDkn0xMTEwNjaGpaWlZFtGRgYcHBygpaWFTp06YfTo0fj5559b4vYbpWz76uPg4IDXXnutWe7xRaiqfd27dwcACIVCPHv2DAKBQPU320SqamNbper23b59G3l5eRg1apRK77OpVNG+u3fvwszMTPLE7DvvvPNS/5tLa7Ux+iFDhiAuLg4AsH//fvz1118AgPLycqxZswbBwcF1jj916hQKCwvx5MkTJCQkSM5pi+prHwBkZmbC1tYWo0ePxunTp1vrFl9IU9vn6uoKfX196OjowNvbu0XvWVlNbePMmTNhY2ODr7/+GqwNJ7W9yM9oVFQUJk2a1KY+rGtTtn2mpqa4ceMGsrKyIBQKERMT06ZjjDJaLdD/+OOP2Lx5M+zs7FBaWoouXboAAIKDg7Fw4cI649QWFhb4/PPP4eLiIhnr7dSp7a5tXl/7XnvtNeTk5CAtLQ3r1q3DlClT6sxPvAya2r7ExETk5uaisrISJ06caK3bV0hT2hgZGYkrV67g9OnTOH36NHbv3t2aTWjQi/yMRkdHY/Lkya1x2wpTtn26uroIDQ3FpEmTMGrUKBgaGrbpGKOUlhojamjc7+bNm2zYsGGMMcYcHR2ZgYEBMzAwYD169GC6urps06ZNdc5ZtmwZ27x5c7PeszIUbV9t8sZ029oYPWOqbR9jjEVERLB58+ap9B5flKrbuHPnzjbVRlW1Lz09nQ0cOLBZ7vFFqPrfb9u2bWzx4sUqvcfW0mo9enE2gkgkwqpVqyQz36dPn0ZWVhaysrIQEBCAL774Ap9++qnMOTk5OTh06FCb7lHU1778/HxJtsndu3dx+/ZtGBsbt9p9NpWy7SsrK0Nubi4APkafkJDQohVKm0LZNgqFQkn1wKqqKsTHx8tkgbQ1Tf0ZjYqKatP/98Sa0j7xOY8ePcKWLVvg6+vbCnfeDFri08THx4e9+uqrrFOnTqxfv35sx44dbMOGDWzgwIFs4MCB7PPPP2cikajOecHBwZKsG8Z4b9/CwoJZW1u3qdlwZdp34MABNnjwYGZtbc1sbW1ZXFyc5DqLFy9m/fr1YwKBgPXr148FBwe3UotkqaJ9f//9N7O3t2dWVlZs8ODB7NNPP2VVVVWt2SwZqmhjWVkZGzp0qKSN8+fPZ0KhsDWbJaGqn1HGGDMyMmIZGRmt0Yx6qap9Pj4+zMLCgllYWLSprLAXRSUQCCGknaMnYwkhpJ2jQE8IIe0cBXpCCGnnKNATQkg7R4GeEELaOQr0pMMRCASYNm2a5HuhUIg+ffpg4sSJTbre48ePsWXLFsn3SUlJTb4WIc2BAj3pcLp164arV6/i6dOnAIBjx46hX79+Tb5e7UBPSFtDgZ50SOPHj8fhw4cB1H3Ss6ioCO+//z6sra3h4OCAy5cvAwBWrFiBWbNmwdnZGcbGxti4cSMAYOnSpbhz5w5sbGywePFiAEBZWRm8vb1hbm6OqVOntuniZqT9o0BPOiQfHx9ER0ejoqICly9fxptvvinZFxwcDFtbW1y+fBkhISGYPn26ZN+NGzeQmJiI8+fPY+XKlaiqqsK3334LExMTpKen47vvvgMApKWlYcOGDbh+/Tru3r2L5OTkFm8jIWIU6EmHZG1tjaysLERFRWHChAky+86cOSMZwx8zZgwKCwtRXFwMAHj33XehoaEBPT096Ovr4+HDh3KvP3z4cPTv3x9qamqwsbFBVlZWs7aHkIa0kxqchCjPw8MDixYtQlJSEgoLCyXb5Q2ziOuua2hoSLapq6tDKBTKvbaixxHSEqhHTzqsWbNmISgoCFZWVjLbnZycEBkZCYBn0Ojp6UlWx5JHR0cHpaWlzXqvhLwI6tGTDqt///5YsGBBne0rVqzAzJkzYW1tDS0tLezatavB6/Tu3RtvvfUWhgwZgvHjx+Pdd99trlsmpEmoeiUhhLRzNHRDCCHtHAV6Qghp5yjQE0JIO0eBnhBC2jkK9IQQ0s5RoCeEkHaOAj0hhLRz/w9qTRrJg5omPgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def draw_moving(timeSeries, size):\n",
    "    f = plt.figure(facecolor='white')\n",
    "    # 对size个数据进行移动平均\n",
    "    rol_mean = timeSeries.rolling(window=size).mean()\n",
    "    # 对size个数据进行加权移动平均\n",
    "    rol_weighted_mean = pd.Series.ewm(timeSeries, span=size)\n",
    "    rol_weighted_mean=timeSeries.ewm(halflife=size,min_periods=0,adjust=True,ignore_na=False).mean()\n",
    " \n",
    "    timeSeries.plot(color='blue', label='Original')\n",
    "    rol_mean.plot(color='red', label='Rolling Mean')\n",
    "    rol_weighted_mean.plot(color='black', label='Weighted Rolling Mean')\n",
    "    plt.legend(loc='best')\n",
    "    plt.title('Rolling Mean')\n",
    "    plt.show()\n",
    "draw_moving(ts_log,12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 从上图可以发现窗口为12的移动平均能较好的剔除年周期性因素，  \n",
    "\n",
    "而指数平均法是对周期内的数据进行了加权，能在一定程度上减小年周期因素，但并不能完全剔除，如要完全剔除可以进一步进行差分操作。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 3.3 差分  \n",
    "时间序列最常用来剔除周期性因素的方法当属差分了，它主要是对等周期间隔的数据进行线性求减。  \n",
    "ARIMA模型相对ARMA模型，仅多了差分操作，ARIMA模型几乎是所有时间序列软件都支持的，差分的实现与还原都非常方便。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Test Statistic                  -4.443325\n",
       "p-value                          0.000249\n",
       "#Lags Used                      12.000000\n",
       "Number of Observations Used    118.000000\n",
       "Critical Value (1%)             -3.487022\n",
       "Critical Value (5%)             -2.886363\n",
       "Critical Value (10%)            -2.580009\n",
       "dtype: float64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diff_12 = ts_log.diff(12)\n",
    "diff_12.dropna(inplace=True)\n",
    "diff_12_1 = diff_12.diff(1)\n",
    "diff_12_1.dropna(inplace=True)\n",
    "teststationarity(diff_12_1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 从上面的统计检验结果可以看出，经过12阶滑动平均和1阶差分后，该序列满足平稳性的要求了。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 3.4 分解\n",
    "\n",
    "所谓分解就是将时序数据分离成不同的成分。  \n",
    "statsmodels使用的X-11分解过程，它主要将时序数据分离成长期趋势、季节趋势和随机成分。  \n",
    "与其它统计软件一样，statsmodels也支持两类分解模型，加法模型和乘法模型，这里我只实现加法，乘法只需将model的参数设置为\"multiplicative\"即可。  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Test Statistic                -6.332387e+00\n",
       "p-value                        2.885059e-08\n",
       "#Lags Used                     9.000000e+00\n",
       "Number of Observations Used    1.220000e+02\n",
       "Critical Value (1%)           -3.485122e+00\n",
       "Critical Value (5%)           -2.885538e+00\n",
       "Critical Value (10%)          -2.579569e+00\n",
       "dtype: float64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "def decompose(timeseries):\n",
    "    \n",
    "    # 返回包含三个部分 trend（趋势部分） ， seasonal（季节性部分） 和residual (残留部分)\n",
    "    decomposition = seasonal_decompose(timeseries)\n",
    "    \n",
    "    trend = decomposition.trend\n",
    "    seasonal = decomposition.seasonal\n",
    "    residual = decomposition.resid\n",
    "    \n",
    "    plt.subplot(411)\n",
    "    plt.plot(ts_log, label='Original')\n",
    "    plt.legend(loc='best')\n",
    "    plt.subplot(412)\n",
    "    plt.plot(trend, label='Trend')\n",
    "    plt.legend(loc='best')\n",
    "    plt.subplot(413)\n",
    "    plt.plot(seasonal,label='Seasonality')\n",
    "    plt.legend(loc='best')\n",
    "    plt.subplot(414)\n",
    "    plt.plot(residual, label='Residuals')\n",
    "    plt.legend(loc='best')\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "    return trend , seasonal, residual\n",
    "trend , seasonal, residual = decompose(ts_log)\n",
    "residual.dropna(inplace=True)\n",
    "draw_trend(residual,12)\n",
    "teststationarity(residual)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 如图所示，数据的均值和方差趋于常数，几乎无波动(看上去比之前的陡峭，但是要注意他的值域只有[-0.05,0.05]之间)  \n",
    " 所以直观上可以认为是稳定的数据。另外DFtest的结果显示，Statistic值原小于1%时的Critical value，所以在99%的置信度下，数据是稳定的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4 时序数据的预测"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在前面的分析可知，该序列具有明显的年周期与长期成分。  \n",
    "对于年周期成分我们使用窗口为12的移动平进行处理，对于长期趋势成分我们采用1阶差分来进行处理。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Test Statistic                  -2.709577\n",
       "p-value                          0.072396\n",
       "#Lags Used                      12.000000\n",
       "Number of Observations Used    119.000000\n",
       "Critical Value (1%)             -3.486535\n",
       "Critical Value (5%)             -2.886151\n",
       "Critical Value (10%)            -2.579896\n",
       "dtype: float64"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rol_mean = ts_log.rolling(window=12).mean()\n",
    "rol_mean.dropna(inplace=True)\n",
    "ts_diff_1 = rol_mean.diff(1)\n",
    "ts_diff_1.dropna(inplace=True)\n",
    "teststationarity(ts_diff_1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 观察其统计量发现该序列在置信水平为95%的区间下并不显著，我们对其进行再次一阶差分。  \n",
    "再次差分后的序列其自相关具有快速衰减的特点，t统计量在99%的置信水平下是显著的，这里我不再做详细说明。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Test Statistic                  -4.443325\n",
       "p-value                          0.000249\n",
       "#Lags Used                      12.000000\n",
       "Number of Observations Used    118.000000\n",
       "Critical Value (1%)             -3.487022\n",
       "Critical Value (5%)             -2.886363\n",
       "Critical Value (10%)            -2.580009\n",
       "dtype: float64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts_diff_2 = ts_diff_1.diff(1)\n",
    "ts_diff_2.dropna(inplace=True)\n",
    "teststationarity(ts_diff_2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 数据平稳后，需要对模型定阶，即确定p、q的阶数。先画出ACF,PACF的图像,代码如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def draw_acf_pacf(ts,lags):\n",
    "    f = plt.figure(facecolor='white')\n",
    "    ax1 = f.add_subplot(211)\n",
    "    plot_acf(ts,ax=ax1,lags=lags)\n",
    "    ax2 = f.add_subplot(212)\n",
    "    plot_pacf(ts,ax=ax2,lags=lags)\n",
    "    plt.subplots_adjust(hspace=0.5)\n",
    "    plt.show()\n",
    "draw_acf_pacf(ts_diff_2,30)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 观察上图，发现自相关和偏相系数都存在拖尾的特点，并且他们都具有明显的一阶相关性，所以我们设定p=1, q=1。  \n",
    "下面就可以使用ARMA模型进行数据拟合了。（Ps.PACF是判定AR模型阶数的，也就是p。ACF是判断MA阶数的，也就是q）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = ARIMA(ts_diff_1, order=(1,1,1)) \n",
    "result_arima = model.fit( disp=-1, method='css')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "predict_data=result_arima.predict(15,150)                # 拟合+预测0~150数据\n",
    "forecast=result_arima.forecast(21)                      # 预测未来21天数据\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 模型拟合完后，我们就可以对其进行预测了。由于ARMA拟合的是经过相关预处理后的数据，故其预测值需要通过相关逆变换进行还原。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "predict_ts = result_arima.predict()\n",
    "# 一阶差分还原\n",
    "diff_shift_ts = ts_diff_1.shift(1)\n",
    "diff_recover_1 = predict_ts.add(diff_shift_ts)\n",
    "\n",
    "# 再次一阶差分还原\n",
    "rol_shift_ts = rol_mean.shift(1)\n",
    "diff_recover = diff_recover_1.add(rol_shift_ts)\n",
    "\n",
    "# 移动平均还原\n",
    "rol_sum = ts_log.rolling(window=11).sum()\n",
    "rol_recover = diff_recover*12 - rol_sum.shift(1)\n",
    "\n",
    "# 对数还原\n",
    "log_recover = np.exp(rol_recover)\n",
    "log_recover.dropna(inplace=True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 我们使用均方根误差（RMSE）来评估模型样本内拟合的好坏。利用该准则进行判别时，需要剔除“非预测”数据的影响。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using matplotlib backend: Qt5Agg\n"
     ]
    }
   ],
   "source": [
    "%matplotlib auto"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_ = ts[log_recover.index]  # 过滤没有预测的记录plt.figure(facecolor='white')\n",
    "log_recover.plot(color='blue', label='Predict')\n",
    "ts_.plot(color='red', label='Original')\n",
    "plt.legend(loc='best')\n",
    "plt.title('RMSE: %.4f'% np.sqrt(sum((log_recover-ts)**2)/ts.size))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 自己的想法  ARIMA 是可以自己寻找差分 p q的，为什么还需要自己手动寻找？\n",
    "\n",
    "- 分析过程 是 d p q  但是需要自己去分析 才能得到参数\n",
    "- 得到参数以后直接使用  原始数据+分析参数  进行建模  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_order(data):\n",
    "#     pmax = int(len(data) / 10)    #一般阶数不超过 length /10\n",
    "#     qmax = int(len(data) / 10)\n",
    "    pmax = 20    \n",
    "    qmax = 20\n",
    "    bic_matrix = []\n",
    "    for p in range(pmax +1):\n",
    "        temp= []\n",
    "        for q in range(qmax+1):\n",
    "            try:\n",
    "                temp.append(ARIMA(data, order=(p, 1, q)).fit().bic)    # 将bic值存入二维数组\n",
    "            except:\n",
    "                temp.append(None)\n",
    "        bic_matrix.append(temp)    \n",
    "    bic_matrix = pd.DataFrame(bic_matrix)   #将其转换成Dataframe 数据结构\n",
    "    p,q = bic_matrix.stack().astype('float64').idxmin()        # 找出bic值最小对应的索引\n",
    "    return p,q\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#draw_ts(ts)\n",
    "draw_trend(ts,12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 本质上就是寻找 d p q三个值 \n",
    "- d根据平稳性判断  \n",
    "- pq  根据相关性判断"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "ts_diff_1 = ts.diff(1)\n",
    "ts_diff_1.dropna(inplace = True)\n",
    "\n",
    "ts_diff_2 = ts_diff_1.diff(1)\n",
    "ts_diff_2.dropna(inplace = True)\n",
    "\n",
    "#一阶差分满足不了平稳性 ，二阶差分可以满足平稳性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Test Statistic                -1.638423e+01\n",
       "p-value                        2.732892e-29\n",
       "#Lags Used                     1.100000e+01\n",
       "Number of Observations Used    1.300000e+02\n",
       "Critical Value (1%)           -3.481682e+00\n",
       "Critical Value (5%)           -2.884042e+00\n",
       "Critical Value (10%)          -2.578770e+00\n",
       "dtype: float64"
      ]
     },
     "execution_count": 205,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "teststationarity(ts_diff_2,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_trend(ts_diff_2,12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 292,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# p q 自相关性 偏相关性 判断\n",
    "draw_acf_pacf(ts_diff_2,20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(15, 0)"
      ]
     },
     "execution_count": 201,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#或者直接使用  get_order进行寻找 p q   感觉好像不准啊？  \n",
    "get_order(ts_diff_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    112.0\n",
       "1949-02-01    118.0\n",
       "1949-03-01    132.0\n",
       "1949-04-01    129.0\n",
       "1949-05-01    121.0\n",
       "              ...  \n",
       "1960-08-01    606.0\n",
       "1960-09-01    508.0\n",
       "1960-10-01    461.0\n",
       "1960-11-01    390.0\n",
       "1960-12-01    432.0\n",
       "Name: Passengers, Length: 144, dtype: float64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 288,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 寻找到参数后直接建模   d = 2   p  q \n",
    "#model = ARIMA(ts, order=(1, 1, 1),freq='W-MON')\n",
    "\n",
    "model = ARIMA(ts, order=(11,2,0)) \n",
    "result_arima = model.fit( disp=-1, method='css')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 289,
   "metadata": {},
   "outputs": [],
   "source": [
    "#进行预测\n",
    "'''\n",
    "对样本内数据进行预测验证\n",
    "\n",
    "typ: linear预测差分后的结果（如果使用了ARIMA(x,2,x)差分的话）。 levels 预测原始数据。 \n",
    "\n",
    "dynamic:  在typ = linear 情况下(评估时根据ts_diff_2和预测值进行评估)\n",
    "True  用预测的结果进行预测 (这个不适合长周期的 误差较大为32)    例如：知道0-12的数据 预测13      根据1-13（预测出来的）预测14  \n",
    "False 用样本内序列进行预测  （误差较小11）                      例如：知道0-12的数据 预测13      根据1-13（真实历史数据）预测14\n",
    "\n",
    "dynamic:  在typ = levels 情况下(评估时根据ts和预测值进行评估)\n",
    "True  用预测的结果进行预测 (这个不适合长周期的 误差较大为199)   例如：知道0-12的数据 预测13      根据1-13（预测出来的）预测14 \n",
    "\n",
    "！注意：在为typ = levels  dynamic = false的情况下，无法进行预测。好像是因为差分还原不了？这里不清楚找到了后期补上\n",
    "False 用样本内序列进行预测  （误差较小11）                      例如：知道0-12的数据 预测13      根据1-13（真实历史数据）预测14\n",
    "'''\n",
    "# predict_data = result_arima.predict(start='1950-02-01',typ='linear',dynamic=True)\n",
    "# predict_data = result_arima.predict(start='1950-02-01',typ='linear',dynamic=False)\n",
    "\n",
    "#这种方式好像只学到了周期性没学到趋势？\n",
    "predict_data = result_arima.predict(start='1950-02-01',typ='levels',dynamic=True)\n",
    "\n",
    "'''\n",
    "对未来进行预测\n",
    "steps：预测多少个数据  int类型  12代表 在截止日期1960-12-01的基础上在预测12个点的数据 即到1961-12-01\n",
    "alpha：置信度默认0.05\n",
    "'''\n",
    "forecast=result_arima.forecast(steps=12)                      # 预测未来数据  只能越未来 \n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 290,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # 一阶差分还原\n",
    "# diff_shift_ts = ts_diff_2.shift(1)\n",
    "# diff_recover_2 = predict_data.add(diff_shift_ts)\n",
    "\n",
    "# # 再次一阶差分还原\n",
    "# rol_shift_ts = ts_diff_1.shift(1)\n",
    "# diff_recover = diff_recover_2.add(rol_shift_ts)\n",
    "\n",
    "# diff_recover.dropna(inplace = True)\n",
    "# predict_data = diff_recover.copy()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 291,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_ = ts[predict_data.index]  # 过滤没有预测的记录plt.figure(facecolor='white')\n",
    "predict_data.plot(color='blue', label='Predict')\n",
    "ts_.plot(color='red', label='Original')\n",
    "plt.legend(loc='best')\n",
    "plt.title('RMSE: %.4f'% np.sqrt(sum((predict_data-ts_)**2)/ts.size))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1950-02-01      7.743151\n",
       "1950-03-01      3.288206\n",
       "1950-04-01    -18.399861\n",
       "1950-05-01     -0.461674\n",
       "1950-06-01     23.588005\n",
       "                 ...    \n",
       "1960-08-01    -81.982272\n",
       "1960-09-01    -75.397787\n",
       "1960-10-01     39.159609\n",
       "1960-11-01      6.593531\n",
       "1960-12-01    113.245782\n",
       "Freq: MS, Length: 131, dtype: float64"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predict_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-01-01    112.0\n",
       "1949-02-01    118.0\n",
       "1949-03-01    132.0\n",
       "1949-04-01    129.0\n",
       "1949-05-01    121.0\n",
       "              ...  \n",
       "1960-08-01    606.0\n",
       "1960-09-01    508.0\n",
       "1960-10-01    461.0\n",
       "1960-11-01    390.0\n",
       "1960-12-01    432.0\n",
       "Name: Passengers, Length: 144, dtype: float64"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-02-01     6.0\n",
       "1949-03-01    14.0\n",
       "1949-04-01    -3.0\n",
       "1949-05-01    -8.0\n",
       "1949-06-01    14.0\n",
       "              ... \n",
       "1960-08-01   -16.0\n",
       "1960-09-01   -98.0\n",
       "1960-10-01   -47.0\n",
       "1960-11-01   -71.0\n",
       "1960-12-01    42.0\n",
       "Name: Passengers, Length: 143, dtype: float64"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts_diff_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Month\n",
       "1949-03-01      8.0\n",
       "1949-04-01    -17.0\n",
       "1949-05-01     -5.0\n",
       "1949-06-01     22.0\n",
       "1949-07-01     -1.0\n",
       "              ...  \n",
       "1960-08-01   -103.0\n",
       "1960-09-01    -82.0\n",
       "1960-10-01     51.0\n",
       "1960-11-01    -24.0\n",
       "1960-12-01    113.0\n",
       "Name: Passengers, Length: 142, dtype: float64"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts_diff_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
